GCF and LCM Calculator Logo

What is the Least Common Multiple of 64440 and 64460?

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 64440 and 64460 is 207690120.

LCM(64440,64460) = 207690120

LCM Calculator and
and

Least Common Multiple of 64440 and 64460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64440 and 64460, than apply into the LCM equation.

GCF(64440,64460) = 20
LCM(64440,64460) = ( 64440 × 64460) / 20
LCM(64440,64460) = 4153802400 / 20
LCM(64440,64460) = 207690120

Least Common Multiple (LCM) of 64440 and 64460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64440 and 64460. First we will calculate the prime factors of 64440 and 64460.

Prime Factorization of 64440

Prime factors of 64440 are 2, 3, 5, 179. Prime factorization of 64440 in exponential form is:

64440 = 23 × 32 × 51 × 1791

Prime Factorization of 64460

Prime factors of 64460 are 2, 5, 11, 293. Prime factorization of 64460 in exponential form is:

64460 = 22 × 51 × 111 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 64440 and 64460.

LCM(64440,64460) = 23 × 32 × 51 × 1791 × 111 × 2931
LCM(64440,64460) = 207690120