What is the Least Common Multiple of 64638 and 64654?

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 64654 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 64654, than apply into the LCM equation.

GCF(64638,64654) = 2
LCM(64638,64654) = ( 64638 × 64654) / 2
LCM(64638,64654) = 4179105252 / 2
LCM(64638,64654) = 2089552626

Least Common Multiple (LCM) of 64638 and 64654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64638 and 64654. First we will calculate the prime factors of 64638 and 64654.

Prime Factorization of 64638

Prime Factorization of 64654

Now multiplying the highest exponent prime factors to calculate the LCM of 64638 and 64654.

LCM(64638,64654) = 2¹ × 3⁵ × 7¹ × 19¹ × 32327¹
LCM(64638,64654) = 2089552626