What is the Least Common Multiple of 64350 and 64370?

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 64350 and 64370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64350 and 64370, than apply into the LCM equation.

GCF(64350,64370) = 10
LCM(64350,64370) = ( 64350 × 64370) / 10
LCM(64350,64370) = 4142209500 / 10
LCM(64350,64370) = 414220950

Least Common Multiple (LCM) of 64350 and 64370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64350 and 64370. First we will calculate the prime factors of 64350 and 64370.

Prime Factorization of 64350

Prime Factorization of 64370

Now multiplying the highest exponent prime factors to calculate the LCM of 64350 and 64370.

LCM(64350,64370) = 2¹ × 3² × 5² × 11¹ × 13¹ × 41¹ × 157¹
LCM(64350,64370) = 414220950