What is the Least Common Multiple of 58724 and 58744?

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 58724 and 58744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58724 and 58744, than apply into the LCM equation.

GCF(58724,58744) = 4
LCM(58724,58744) = ( 58724 × 58744) / 4
LCM(58724,58744) = 3449682656 / 4
LCM(58724,58744) = 862420664

Least Common Multiple (LCM) of 58724 and 58744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58724 and 58744. First we will calculate the prime factors of 58724 and 58744.

Prime Factorization of 58724

Prime Factorization of 58744

Now multiplying the highest exponent prime factors to calculate the LCM of 58724 and 58744.

LCM(58724,58744) = 2³ × 53¹ × 277¹ × 7¹ × 1049¹
LCM(58724,58744) = 862420664