GCF and LCM Calculator Logo

What is the Least Common Multiple of 64678 and 64692?

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 64678 and 64692 is 2092074588.

LCM(64678,64692) = 2092074588

LCM Calculator and
and

Least Common Multiple of 64678 and 64692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64678 and 64692, than apply into the LCM equation.

GCF(64678,64692) = 2
LCM(64678,64692) = ( 64678 × 64692) / 2
LCM(64678,64692) = 4184149176 / 2
LCM(64678,64692) = 2092074588

Least Common Multiple (LCM) of 64678 and 64692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64678 and 64692. First we will calculate the prime factors of 64678 and 64692.

Prime Factorization of 64678

Prime factors of 64678 are 2, 73, 443. Prime factorization of 64678 in exponential form is:

64678 = 21 × 731 × 4431

Prime Factorization of 64692

Prime factors of 64692 are 2, 3, 599. Prime factorization of 64692 in exponential form is:

64692 = 22 × 33 × 5991

Now multiplying the highest exponent prime factors to calculate the LCM of 64678 and 64692.

LCM(64678,64692) = 22 × 731 × 4431 × 33 × 5991
LCM(64678,64692) = 2092074588