What is the Least Common Multiple of 58657 and 58672?

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 58657 and 58672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58657 and 58672, than apply into the LCM equation.

GCF(58657,58672) = 1
LCM(58657,58672) = ( 58657 × 58672) / 1
LCM(58657,58672) = 3441523504 / 1
LCM(58657,58672) = 3441523504

Least Common Multiple (LCM) of 58657 and 58672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58657 and 58672. First we will calculate the prime factors of 58657 and 58672.

Prime Factorization of 58657

Prime Factorization of 58672

Now multiplying the highest exponent prime factors to calculate the LCM of 58657 and 58672.

LCM(58657,58672) = 58657¹ × 2⁴ × 19¹ × 193¹
LCM(58657,58672) = 3441523504