What is the Least Common Multiple of 58752 and 58760?

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 58752 and 58760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58752 and 58760, than apply into the LCM equation.

GCF(58752,58760) = 8
LCM(58752,58760) = ( 58752 × 58760) / 8
LCM(58752,58760) = 3452267520 / 8
LCM(58752,58760) = 431533440

Least Common Multiple (LCM) of 58752 and 58760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58752 and 58760. First we will calculate the prime factors of 58752 and 58760.

Prime Factorization of 58752

Prime Factorization of 58760

Now multiplying the highest exponent prime factors to calculate the LCM of 58752 and 58760.

LCM(58752,58760) = 2⁷ × 3³ × 17¹ × 5¹ × 13¹ × 113¹
LCM(58752,58760) = 431533440