What is the Least Common Multiple of 58696 and 58712?

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 58696 and 58712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58696 and 58712, than apply into the LCM equation.

GCF(58696,58712) = 8
LCM(58696,58712) = ( 58696 × 58712) / 8
LCM(58696,58712) = 3446159552 / 8
LCM(58696,58712) = 430769944

Least Common Multiple (LCM) of 58696 and 58712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58696 and 58712. First we will calculate the prime factors of 58696 and 58712.

Prime Factorization of 58696

Prime Factorization of 58712

Now multiplying the highest exponent prime factors to calculate the LCM of 58696 and 58712.

LCM(58696,58712) = 2³ × 11¹ × 23¹ × 29¹ × 41¹ × 179¹
LCM(58696,58712) = 430769944