What is the Least Common Multiple of 64185 and 64190?

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 64185 and 64190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64185 and 64190, than apply into the LCM equation.

GCF(64185,64190) = 5
LCM(64185,64190) = ( 64185 × 64190) / 5
LCM(64185,64190) = 4120035150 / 5
LCM(64185,64190) = 824007030

Least Common Multiple (LCM) of 64185 and 64190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64185 and 64190. First we will calculate the prime factors of 64185 and 64190.

Prime Factorization of 64185

Prime Factorization of 64190

Now multiplying the highest exponent prime factors to calculate the LCM of 64185 and 64190.

LCM(64185,64190) = 3¹ × 5¹ × 11¹ × 389¹ × 2¹ × 7² × 131¹
LCM(64185,64190) = 824007030