What is the Least Common Multiple of 58812 and 58827?

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 58812 and 58827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58812 and 58827, than apply into the LCM equation.

GCF(58812,58827) = 3
LCM(58812,58827) = ( 58812 × 58827) / 3
LCM(58812,58827) = 3459733524 / 3
LCM(58812,58827) = 1153244508

Least Common Multiple (LCM) of 58812 and 58827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58812 and 58827. First we will calculate the prime factors of 58812 and 58827.

Prime Factorization of 58812

Prime Factorization of 58827

Now multiplying the highest exponent prime factors to calculate the LCM of 58812 and 58827.

LCM(58812,58827) = 2² × 3¹ × 13² × 29¹ × 19609¹
LCM(58812,58827) = 1153244508