What is the Least Common Multiple of 59612 and 59632?

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 59612 and 59632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59612 and 59632, than apply into the LCM equation.

GCF(59612,59632) = 4
LCM(59612,59632) = ( 59612 × 59632) / 4
LCM(59612,59632) = 3554782784 / 4
LCM(59612,59632) = 888695696

Least Common Multiple (LCM) of 59612 and 59632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59612 and 59632. First we will calculate the prime factors of 59612 and 59632.

Prime Factorization of 59612

Prime Factorization of 59632

Now multiplying the highest exponent prime factors to calculate the LCM of 59612 and 59632.

LCM(59612,59632) = 2⁴ × 7¹ × 2129¹ × 3727¹
LCM(59612,59632) = 888695696