What is the Least Common Multiple of 64380 and 64389?

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 64389 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 64389, than apply into the LCM equation.

GCF(64380,64389) = 3
LCM(64380,64389) = ( 64380 × 64389) / 3
LCM(64380,64389) = 4145363820 / 3
LCM(64380,64389) = 1381787940

Least Common Multiple (LCM) of 64380 and 64389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64380 and 64389. First we will calculate the prime factors of 64380 and 64389.

Prime Factorization of 64380

Prime Factorization of 64389

Now multiplying the highest exponent prime factors to calculate the LCM of 64380 and 64389.

LCM(64380,64389) = 2² × 3¹ × 5¹ × 29¹ × 37¹ × 13² × 127¹
LCM(64380,64389) = 1381787940