What is the Least Common Multiple of 58672 and 58691?

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 58691 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 58691, than apply into the LCM equation.

GCF(58672,58691) = 19
LCM(58672,58691) = ( 58672 × 58691) / 19
LCM(58672,58691) = 3443518352 / 19
LCM(58672,58691) = 181237808

Least Common Multiple (LCM) of 58672 and 58691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58672 and 58691. First we will calculate the prime factors of 58672 and 58691.

Prime Factorization of 58672

Prime Factorization of 58691

Now multiplying the highest exponent prime factors to calculate the LCM of 58672 and 58691.

LCM(58672,58691) = 2⁴ × 19¹ × 193¹ × 3089¹
LCM(58672,58691) = 181237808