GCF and LCM Calculator Logo

What is the Least Common Multiple of 64332 and 64341?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 64332 and 64341 is 459909468.

LCM(64332,64341) = 459909468

LCM Calculator and
and

Least Common Multiple of 64332 and 64341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64332 and 64341, than apply into the LCM equation.

GCF(64332,64341) = 9
LCM(64332,64341) = ( 64332 × 64341) / 9
LCM(64332,64341) = 4139185212 / 9
LCM(64332,64341) = 459909468

Least Common Multiple (LCM) of 64332 and 64341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64332 and 64341. First we will calculate the prime factors of 64332 and 64341.

Prime Factorization of 64332

Prime factors of 64332 are 2, 3, 1787. Prime factorization of 64332 in exponential form is:

64332 = 22 × 32 × 17871

Prime Factorization of 64341

Prime factors of 64341 are 3, 2383. Prime factorization of 64341 in exponential form is:

64341 = 33 × 23831

Now multiplying the highest exponent prime factors to calculate the LCM of 64332 and 64341.

LCM(64332,64341) = 22 × 33 × 17871 × 23831
LCM(64332,64341) = 459909468