GCF and LCM Calculator Logo

What is the Least Common Multiple of 64190 and 64210?

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 64190 and 64210 is 412163990.

LCM(64190,64210) = 412163990

LCM Calculator and
and

Least Common Multiple of 64190 and 64210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64190 and 64210, than apply into the LCM equation.

GCF(64190,64210) = 10
LCM(64190,64210) = ( 64190 × 64210) / 10
LCM(64190,64210) = 4121639900 / 10
LCM(64190,64210) = 412163990

Least Common Multiple (LCM) of 64190 and 64210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64190 and 64210. First we will calculate the prime factors of 64190 and 64210.

Prime Factorization of 64190

Prime factors of 64190 are 2, 5, 7, 131. Prime factorization of 64190 in exponential form is:

64190 = 21 × 51 × 72 × 1311

Prime Factorization of 64210

Prime factors of 64210 are 2, 5, 6421. Prime factorization of 64210 in exponential form is:

64210 = 21 × 51 × 64211

Now multiplying the highest exponent prime factors to calculate the LCM of 64190 and 64210.

LCM(64190,64210) = 21 × 51 × 72 × 1311 × 64211
LCM(64190,64210) = 412163990