What is the Least Common Multiple of 58548 and 58556?

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 58548 and 58556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58548 and 58556, than apply into the LCM equation.

GCF(58548,58556) = 4
LCM(58548,58556) = ( 58548 × 58556) / 4
LCM(58548,58556) = 3428336688 / 4
LCM(58548,58556) = 857084172

Least Common Multiple (LCM) of 58548 and 58556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58548 and 58556. First we will calculate the prime factors of 58548 and 58556.

Prime Factorization of 58548

Prime Factorization of 58556

Now multiplying the highest exponent prime factors to calculate the LCM of 58548 and 58556.

LCM(58548,58556) = 2² × 3¹ × 7¹ × 17¹ × 41¹ × 14639¹
LCM(58548,58556) = 857084172