What is the Least Common Multiple of 70624 and 70632?

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 70624 and 70632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70624 and 70632, than apply into the LCM equation.

GCF(70624,70632) = 8
LCM(70624,70632) = ( 70624 × 70632) / 8
LCM(70624,70632) = 4988314368 / 8
LCM(70624,70632) = 623539296

Least Common Multiple (LCM) of 70624 and 70632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70624 and 70632. First we will calculate the prime factors of 70624 and 70632.

Prime Factorization of 70624

Prime Factorization of 70632

Now multiplying the highest exponent prime factors to calculate the LCM of 70624 and 70632.

LCM(70624,70632) = 2⁵ × 2207¹ × 3⁴ × 109¹
LCM(70624,70632) = 623539296