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LCM for 32 and 60

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 32 and 60?

Answer

LCM of 32 and 60 is 480

(Four hundred eighty)

Finding LCM for 32 and 60 using GCF of these numbers

The first method to find LCM for numbers 32 and 60 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 32 and 60 is 4, so

LCM = (32 × 60) ÷ 4

LCM = 1920 ÷ 4

LCM = 480

Finding LCM for 32 and 60 by Listing Multiples

The second method to find LCM for numbers 32 and 60 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 32: 32, 64, 96, 128, 160, 192, 224, 256, 288, 320, 352, 384, 416, 448, 480, 512, 544

Multiples of 60: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600

So the LCM for 32 and 60 is 480

Finding LCM for 32 and 60 by Prime Factorization

Another method to find LCM for numbers 32 and 60 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 32: 2, 2, 2, 2, 2 (exponent form: 25)

All Prime Factors of 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)

25 × 31 × 51 = 480

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What is the LCM of 32 and 60?. The LCM of 32 and 60 is 480 — the smallest common multiple of both integers.
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LCM Table

Number 1Number 2LCM
32331056
3236288
32371184
3238608
32391248
3240160
3242672
32451440
32471504
324896
32491568
32531696
3254864
3256224
3258928
32591888
3260480
32176352

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 32 and 60? (The answer is: 480). Select the first number (e.g. '32') and the second number (e.g. '60'). 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 32 and 60?

LCM of 32 and 60 is 480

How to find the LCM of 32 and 60 using prime factorization?

To find the LCM of 32 and 60, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 480.

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 32 and 60: LCM = 480, GCF = 4.

See Also