What is the Least Common Multiple of 64614 and 64632?

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 64614 and 64632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64614 and 64632, than apply into the LCM equation.

GCF(64614,64632) = 6
LCM(64614,64632) = ( 64614 × 64632) / 6
LCM(64614,64632) = 4176132048 / 6
LCM(64614,64632) = 696022008

Least Common Multiple (LCM) of 64614 and 64632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64614 and 64632. First we will calculate the prime factors of 64614 and 64632.

Prime Factorization of 64614

Prime Factorization of 64632

Now multiplying the highest exponent prime factors to calculate the LCM of 64614 and 64632.

LCM(64614,64632) = 2³ × 3¹ × 11² × 89¹ × 2693¹
LCM(64614,64632) = 696022008