What is the Least Common Multiple of 64380 and 64400?

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 64380 and 64400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64380 and 64400, than apply into the LCM equation.

GCF(64380,64400) = 20
LCM(64380,64400) = ( 64380 × 64400) / 20
LCM(64380,64400) = 4146072000 / 20
LCM(64380,64400) = 207303600

Least Common Multiple (LCM) of 64380 and 64400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64380 and 64400. First we will calculate the prime factors of 64380 and 64400.

Prime Factorization of 64380

Prime Factorization of 64400

Now multiplying the highest exponent prime factors to calculate the LCM of 64380 and 64400.

LCM(64380,64400) = 2⁴ × 3¹ × 5² × 29¹ × 37¹ × 7¹ × 23¹
LCM(64380,64400) = 207303600