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LCM for 26 and 45

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 26 and 45?

Answer

LCM of 26 and 45 is 1,170

(One thousand, one hundred seventy)

Finding LCM for 26 and 45 using GCF of these numbers

The first method to find LCM for numbers 26 and 45 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 26 and 45 is 1, so

LCM = (26 × 45) ÷ 1

LCM = 1170 ÷ 1

LCM = 1170

Finding LCM for 26 and 45 by Listing Multiples

The second method to find LCM for numbers 26 and 45 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 26: 26, 52, 78, 104, 130, 156, 182, 208, 234, 260, 286, 312, 338, 364, 390, 416, 442, 468, 494, 520, 546, 572, 598, 624, 650, 676, 702, 728, 754, 780, 806, 832, 858, 884, 910, 936, 962, 988, 1014, 1040, 1066, 1092, 1118, 1144, 1170, 1196, 1222

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

So the LCM for 26 and 45 is 1170

Finding LCM for 26 and 45 by Prime Factorization

Another method to find LCM for numbers 26 and 45 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 26: 2, 13 (exponent form: 21, 131)

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

21 × 131 × 32 × 51 = 1170

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What is the LCM of 26 and 45?. The LCM of 26 and 45 is 1170 — the smallest common multiple of both integers.
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LCM Table

Number 1Number 2LCM
2627702
2631806
2632416
2634442
2635910
2638494
263978
2640520
26431118
26451170
2646598
2648624
26491274
2650650
26511326
265252
26551430
2656728

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 26 and 45? (The answer is: 1170). Select the first number (e.g. '26') and the second number (e.g. '45'). 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 26 and 45?

LCM of 26 and 45 is 1,170

How to find the LCM of 26 and 45 using prime factorization?

To find the LCM of 26 and 45, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,170.

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 26 and 45: LCM = 1,170, GCF = 1.

See Also