LCM for 64 and 72

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What's the Least Common Multiple (LCM) of 64 and 72?

Answer

LCM of 64 and 72 is
576

(Five hundred seventy-six)

Finding LCM for 64 and 72 using GCF of these numbers

The first method to find LCM for numbers 64 and 72 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 64 and 72 is 8, so

LCM = (64 × 72) ÷ 8

LCM = 4,608 ÷ 8

LCM = 576

Finding LCM for 64 and 72 by Listing Multiples

The second method to find LCM for numbers 64 and 72 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 64: 64, 128, 192, 256, 320, 384, 448, 512, 576, 640, 704

Multiples of 72: 72, 144, 216, 288, 360, 432, 504, 576, 648, 720

So the LCM for 64 and 72 is 576

Finding LCM for 64 and 72 by Prime Factorization

Another method to find LCM for numbers 64 and 72 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 64: 2, 2, 2, 2, 2, 2 (exponent form: 26)

All Prime Factors of 72: 2, 2, 2, 3, 3 (exponent form: 23, 32)

26 × 32 = 576

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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 64 and 72? (The answer is: 576). Select the first number (e.g. '64') and the second number (e.g. '72'). 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
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LCM Table

Number 1Number 2LCM
64573,648
64581,856
64593,776
6460960
64613,904
64621,984
64634,032
646464
64654,160
64662,112
64674,288
64681,088
64694,416
64702,240
64714,544
6472576
64734,672
64742,368
64754,800
64761,216
64774,928
64782,496
64795,056
6480320
64815,184
64822,624
64835,312
64841,344
64855,440
64862,752

FAQ

What's the Least Common Multiple (LCM) of 64 and 72?

LCM of 64 and 72 is 576

How to find the LCM of 64 and 72 using prime factorization?

To find the LCM of 64 and 72, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 576.

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 64 and 72: LCM = 576, GCF = 8.

See Also