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LCM for 45 and 46

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 45 and 46?

Answer

LCM of 45 and 46 is 2,070

(Two thousand, seventy)

Finding LCM for 45 and 46 using GCF of these numbers

The first method to find LCM for numbers 45 and 46 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 45 and 46 is 1, so

LCM = (45 × 46) ÷ 1

LCM = 2070 ÷ 1

LCM = 2070

Finding LCM for 45 and 46 by Listing Multiples

The second method to find LCM for numbers 45 and 46 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 45: 45, 90, 135, 180, 225, 270, 315, 360, 405, 450, 495, 540, 585, 630, 675, 720, 765, 810, 855, 900, 945, 990, 1035, 1080, 1125, 1170, 1215, 1260, 1305, 1350, 1395, 1440, 1485, 1530, 1575, 1620, 1665, 1710, 1755, 1800, 1845, 1890, 1935, 1980, 2025, 2070, 2115, 2160

Multiples of 46: 46, 92, 138, 184, 230, 276, 322, 368, 414, 460, 506, 552, 598, 644, 690, 736, 782, 828, 874, 920, 966, 1012, 1058, 1104, 1150, 1196, 1242, 1288, 1334, 1380, 1426, 1472, 1518, 1564, 1610, 1656, 1702, 1748, 1794, 1840, 1886, 1932, 1978, 2024, 2070, 2116, 2162

So the LCM for 45 and 46 is 2070

Finding LCM for 45 and 46 by Prime Factorization

Another method to find LCM for numbers 45 and 46 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 45: 3, 3, 5 (exponent form: 32, 51)

All Prime Factors of 46: 2, 23 (exponent form: 21, 231)

32 × 51 × 21 × 231 = 2070

Related Calculations

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What is the LCM of 45 and 46?. Find the LCM of 45 and 46 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
3046690
31461426
3246736
33461518
3446782
35461610
3646828
37461702
3846874
39461794
4046920
41461886
4246966
43461978
44461012
45462070
464646
47462162
48461104
49462254
50461150
51462346
52461196
53462438
54461242
55462530
56461288
57462622
58461334
59462714

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 45 and 46? (The answer is: 2070). Select the first number (e.g. '45') and the second number (e.g. '46'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

"Least Common Multiple" Calculator

Least Common Multiple of

and

FAQ

What's the Least Common Multiple (LCM) of 45 and 46?

LCM of 45 and 46 is 2,070

How to find the LCM of 45 and 46 using prime factorization?

To find the LCM of 45 and 46, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,070.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 45 and 46: LCM = 2,070, GCF = 1.

See Also