GCF and LCM Calculator Logo

What is the Least Common Multiple of 64100 and 64115?

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 64100 and 64115 is 821954300.

LCM(64100,64115) = 821954300

LCM Calculator and
and

Least Common Multiple of 64100 and 64115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64100 and 64115, than apply into the LCM equation.

GCF(64100,64115) = 5
LCM(64100,64115) = ( 64100 × 64115) / 5
LCM(64100,64115) = 4109771500 / 5
LCM(64100,64115) = 821954300

Least Common Multiple (LCM) of 64100 and 64115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64100 and 64115. First we will calculate the prime factors of 64100 and 64115.

Prime Factorization of 64100

Prime factors of 64100 are 2, 5, 641. Prime factorization of 64100 in exponential form is:

64100 = 22 × 52 × 6411

Prime Factorization of 64115

Prime factors of 64115 are 5, 12823. Prime factorization of 64115 in exponential form is:

64115 = 51 × 128231

Now multiplying the highest exponent prime factors to calculate the LCM of 64100 and 64115.

LCM(64100,64115) = 22 × 52 × 6411 × 128231
LCM(64100,64115) = 821954300