What is the Least Common Multiple of 58714 and 58727?

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 58714 and 58727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58714 and 58727, than apply into the LCM equation.

GCF(58714,58727) = 1
LCM(58714,58727) = ( 58714 × 58727) / 1
LCM(58714,58727) = 3448097078 / 1
LCM(58714,58727) = 3448097078

Least Common Multiple (LCM) of 58714 and 58727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58714 and 58727. First we will calculate the prime factors of 58714 and 58727.

Prime Factorization of 58714

Prime Factorization of 58727

Now multiplying the highest exponent prime factors to calculate the LCM of 58714 and 58727.

LCM(58714,58727) = 2¹ × 31¹ × 947¹ × 58727¹
LCM(58714,58727) = 3448097078