GCF and LCM Calculator Logo

What is the Least Common Multiple of 64122 and 64132?

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 64122 and 64132 is 2056136052.

LCM(64122,64132) = 2056136052

LCM Calculator and
and

Least Common Multiple of 64122 and 64132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64122 and 64132, than apply into the LCM equation.

GCF(64122,64132) = 2
LCM(64122,64132) = ( 64122 × 64132) / 2
LCM(64122,64132) = 4112272104 / 2
LCM(64122,64132) = 2056136052

Least Common Multiple (LCM) of 64122 and 64132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64122 and 64132. First we will calculate the prime factors of 64122 and 64132.

Prime Factorization of 64122

Prime factors of 64122 are 2, 3, 10687. Prime factorization of 64122 in exponential form is:

64122 = 21 × 31 × 106871

Prime Factorization of 64132

Prime factors of 64132 are 2, 16033. Prime factorization of 64132 in exponential form is:

64132 = 22 × 160331

Now multiplying the highest exponent prime factors to calculate the LCM of 64122 and 64132.

LCM(64122,64132) = 22 × 31 × 106871 × 160331
LCM(64122,64132) = 2056136052