What is the Least Common Multiple of 64638 and 64650?

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 64638 and 64650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64638 and 64650, than apply into the LCM equation.

GCF(64638,64650) = 6
LCM(64638,64650) = ( 64638 × 64650) / 6
LCM(64638,64650) = 4178846700 / 6
LCM(64638,64650) = 696474450

Least Common Multiple (LCM) of 64638 and 64650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64638 and 64650. First we will calculate the prime factors of 64638 and 64650.

Prime Factorization of 64638

Prime Factorization of 64650

Now multiplying the highest exponent prime factors to calculate the LCM of 64638 and 64650.

LCM(64638,64650) = 2¹ × 3⁵ × 7¹ × 19¹ × 5² × 431¹
LCM(64638,64650) = 696474450