What is the Least Common Multiple of 64440 and 64450?

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 64440 and 64450 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 64450, than apply into the LCM equation.

GCF(64440,64450) = 10
LCM(64440,64450) = ( 64440 × 64450) / 10
LCM(64440,64450) = 4153158000 / 10
LCM(64440,64450) = 415315800

Least Common Multiple (LCM) of 64440 and 64450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64440 and 64450. First we will calculate the prime factors of 64440 and 64450.

Prime Factorization of 64440

Prime Factorization of 64450

Now multiplying the highest exponent prime factors to calculate the LCM of 64440 and 64450.

LCM(64440,64450) = 2³ × 3² × 5² × 179¹ × 1289¹
LCM(64440,64450) = 415315800