What is the Least Common Multiple of 52812 and 52827?

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 52812 and 52827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52812 and 52827, than apply into the LCM equation.

GCF(52812,52827) = 3
LCM(52812,52827) = ( 52812 × 52827) / 3
LCM(52812,52827) = 2789899524 / 3
LCM(52812,52827) = 929966508

Least Common Multiple (LCM) of 52812 and 52827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52812 and 52827. First we will calculate the prime factors of 52812 and 52827.

Prime Factorization of 52812

Prime Factorization of 52827

Now multiplying the highest exponent prime factors to calculate the LCM of 52812 and 52827.

LCM(52812,52827) = 2² × 3⁴ × 163¹ × 17609¹
LCM(52812,52827) = 929966508