What is the Least Common Multiple of 64740 and 64750?

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 64740 and 64750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64740 and 64750, than apply into the LCM equation.

GCF(64740,64750) = 10
LCM(64740,64750) = ( 64740 × 64750) / 10
LCM(64740,64750) = 4191915000 / 10
LCM(64740,64750) = 419191500

Least Common Multiple (LCM) of 64740 and 64750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64740 and 64750. First we will calculate the prime factors of 64740 and 64750.

Prime Factorization of 64740

Prime Factorization of 64750

Now multiplying the highest exponent prime factors to calculate the LCM of 64740 and 64750.

LCM(64740,64750) = 2² × 3¹ × 5³ × 13¹ × 83¹ × 7¹ × 37¹
LCM(64740,64750) = 419191500