What is the Least Common Multiple of 58672 and 58687?

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 58672 and 58687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58672 and 58687, than apply into the LCM equation.

GCF(58672,58687) = 1
LCM(58672,58687) = ( 58672 × 58687) / 1
LCM(58672,58687) = 3443283664 / 1
LCM(58672,58687) = 3443283664

Least Common Multiple (LCM) of 58672 and 58687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58672 and 58687. First we will calculate the prime factors of 58672 and 58687.

Prime Factorization of 58672

Prime Factorization of 58687

Now multiplying the highest exponent prime factors to calculate the LCM of 58672 and 58687.

LCM(58672,58687) = 2⁴ × 19¹ × 193¹ × 58687¹
LCM(58672,58687) = 3443283664