What is the Least Common Multiple of 64638 and 64652?

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 64652 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 64652, than apply into the LCM equation.

GCF(64638,64652) = 14
LCM(64638,64652) = ( 64638 × 64652) / 14
LCM(64638,64652) = 4178975976 / 14
LCM(64638,64652) = 298498284

Least Common Multiple (LCM) of 64638 and 64652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64638 and 64652. First we will calculate the prime factors of 64638 and 64652.

Prime Factorization of 64638

Prime Factorization of 64652

Now multiplying the highest exponent prime factors to calculate the LCM of 64638 and 64652.

LCM(64638,64652) = 2² × 3⁵ × 7¹ × 19¹ × 2309¹
LCM(64638,64652) = 298498284