What is the Least Common Multiple of 59652 and 59672?

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 59652 and 59672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59652 and 59672, than apply into the LCM equation.

GCF(59652,59672) = 4
LCM(59652,59672) = ( 59652 × 59672) / 4
LCM(59652,59672) = 3559554144 / 4
LCM(59652,59672) = 889888536

Least Common Multiple (LCM) of 59652 and 59672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59652 and 59672. First we will calculate the prime factors of 59652 and 59672.

Prime Factorization of 59652

Prime Factorization of 59672

Now multiplying the highest exponent prime factors to calculate the LCM of 59652 and 59672.

LCM(59652,59672) = 2³ × 3² × 1657¹ × 7459¹
LCM(59652,59672) = 889888536