What is the Least Common Multiple of 58110 and 58128?

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 58110 and 58128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58110 and 58128, than apply into the LCM equation.

GCF(58110,58128) = 6
LCM(58110,58128) = ( 58110 × 58128) / 6
LCM(58110,58128) = 3377818080 / 6
LCM(58110,58128) = 562969680

Least Common Multiple (LCM) of 58110 and 58128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58110 and 58128. First we will calculate the prime factors of 58110 and 58128.

Prime Factorization of 58110

Prime Factorization of 58128

Now multiplying the highest exponent prime factors to calculate the LCM of 58110 and 58128.

LCM(58110,58128) = 2⁴ × 3¹ × 5¹ × 13¹ × 149¹ × 7¹ × 173¹
LCM(58110,58128) = 562969680