LCM for 23 and 45

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 23 and 45?

Answer

LCM of 23 and 45 is 1,035

(One thousand, thirty-five)

Finding LCM for 23 and 45 using GCF of these numbers

The first method to find LCM for numbers 23 and 45 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 23 and 45 is 1, so

LCM = (23 × 45) ÷ 1

LCM = 1035 ÷ 1

LCM = 1035

Finding LCM for 23 and 45 by Listing Multiples

The second method to find LCM for numbers 23 and 45 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 23: 23, 46, 69, 92, 115, 138, 161, 184, 207, 230, 253, 276, 299, 322, 345, 368, 391, 414, 437, 460, 483, 506, 529, 552, 575, 598, 621, 644, 667, 690, 713, 736, 759, 782, 805, 828, 851, 874, 897, 920, 943, 966, 989, 1012, 1035, 1058, 1081

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

So the LCM for 23 and 45 is 1035

Finding LCM for 23 and 45 by Prime Factorization

Another method to find LCM for numbers 23 and 45 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 23: 23 (exponent form: 231)

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

231 × 32 × 51 = 1035

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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 23 and 45? (The answer is: 1035). Select the first number (e.g. '23') 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

LCM Table

Number 1Number 2LCM
2324552
2326598
2328644
2329667
2332736
2333759
2335805
2336828
2338874
2339897
2340920
2342966
2343989
23451035
234646
23491127
23511173
23521196
23541242
23571311
23601380

FAQ

What's the Least Common Multiple (LCM) of 23 and 45?

LCM of 23 and 45 is 1,035

How to find the LCM of 23 and 45 using prime factorization?

To find the LCM of 23 and 45, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,035.

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 23 and 45: LCM = 1,035, GCF = 1.

See Also