What is the Least Common Multiple of 64980 and 65000?

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 of 64980 and 65000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64980 and 65000, than apply into the LCM equation.

GCF(64980,65000) = 20
LCM(64980,65000) = ( 64980 × 65000) / 20
LCM(64980,65000) = 4223700000 / 20
LCM(64980,65000) = 211185000

Least Common Multiple (LCM) of 64980 and 65000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64980 and 65000. First we will calculate the prime factors of 64980 and 65000.

Prime Factorization of 64980

Prime Factorization of 65000

Now multiplying the highest exponent prime factors to calculate the LCM of 64980 and 65000.

LCM(64980,65000) = 2³ × 3² × 5⁴ × 19² × 13¹
LCM(64980,65000) = 211185000