What is the Least Common Multiple of 58707 and 58718?

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 58707 and 58718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58707 and 58718, than apply into the LCM equation.

GCF(58707,58718) = 11
LCM(58707,58718) = ( 58707 × 58718) / 11
LCM(58707,58718) = 3447157626 / 11
LCM(58707,58718) = 313377966

Least Common Multiple (LCM) of 58707 and 58718 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58707 and 58718. First we will calculate the prime factors of 58707 and 58718.

Prime Factorization of 58707

Prime Factorization of 58718

Now multiplying the highest exponent prime factors to calculate the LCM of 58707 and 58718.

LCM(58707,58718) = 3² × 11¹ × 593¹ × 2¹ × 17¹ × 157¹
LCM(58707,58718) = 313377966