What is the Least Common Multiple of 58734 and 58752?

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 58734 and 58752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58734 and 58752, than apply into the LCM equation.

GCF(58734,58752) = 18
LCM(58734,58752) = ( 58734 × 58752) / 18
LCM(58734,58752) = 3450739968 / 18
LCM(58734,58752) = 191707776

Least Common Multiple (LCM) of 58734 and 58752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58734 and 58752. First we will calculate the prime factors of 58734 and 58752.

Prime Factorization of 58734

Prime Factorization of 58752

Now multiplying the highest exponent prime factors to calculate the LCM of 58734 and 58752.

LCM(58734,58752) = 2⁷ × 3³ × 13¹ × 251¹ × 17¹
LCM(58734,58752) = 191707776