GCF and LCM Calculator Logo

What is the Least Common Multiple of 64771 and 64785?

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 64771 and 64785 is 599455605.

LCM(64771,64785) = 599455605

LCM Calculator and
and

Least Common Multiple of 64771 and 64785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64771 and 64785, than apply into the LCM equation.

GCF(64771,64785) = 7
LCM(64771,64785) = ( 64771 × 64785) / 7
LCM(64771,64785) = 4196189235 / 7
LCM(64771,64785) = 599455605

Least Common Multiple (LCM) of 64771 and 64785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64771 and 64785. First we will calculate the prime factors of 64771 and 64785.

Prime Factorization of 64771

Prime factors of 64771 are 7, 19, 487. Prime factorization of 64771 in exponential form is:

64771 = 71 × 191 × 4871

Prime Factorization of 64785

Prime factors of 64785 are 3, 5, 7, 617. Prime factorization of 64785 in exponential form is:

64785 = 31 × 51 × 71 × 6171

Now multiplying the highest exponent prime factors to calculate the LCM of 64771 and 64785.

LCM(64771,64785) = 71 × 191 × 4871 × 31 × 51 × 6171
LCM(64771,64785) = 599455605