GCF and LCM Calculator Logo

What is the Least Common Multiple of 64629 and 64648?

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 64629 and 64648 is 4178135592.

LCM(64629,64648) = 4178135592

LCM Calculator and
and

Least Common Multiple of 64629 and 64648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64629 and 64648, than apply into the LCM equation.

GCF(64629,64648) = 1
LCM(64629,64648) = ( 64629 × 64648) / 1
LCM(64629,64648) = 4178135592 / 1
LCM(64629,64648) = 4178135592

Least Common Multiple (LCM) of 64629 and 64648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64629 and 64648. First we will calculate the prime factors of 64629 and 64648.

Prime Factorization of 64629

Prime factors of 64629 are 3, 43, 167. Prime factorization of 64629 in exponential form is:

64629 = 32 × 431 × 1671

Prime Factorization of 64648

Prime factors of 64648 are 2, 8081. Prime factorization of 64648 in exponential form is:

64648 = 23 × 80811

Now multiplying the highest exponent prime factors to calculate the LCM of 64629 and 64648.

LCM(64629,64648) = 32 × 431 × 1671 × 23 × 80811
LCM(64629,64648) = 4178135592