What is the Least Common Multiple of 52803 and 52812?

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 52803 and 52812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52803 and 52812, than apply into the LCM equation.

GCF(52803,52812) = 9
LCM(52803,52812) = ( 52803 × 52812) / 9
LCM(52803,52812) = 2788632036 / 9
LCM(52803,52812) = 309848004

Least Common Multiple (LCM) of 52803 and 52812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52803 and 52812. First we will calculate the prime factors of 52803 and 52812.

Prime Factorization of 52803

Prime Factorization of 52812

Now multiplying the highest exponent prime factors to calculate the LCM of 52803 and 52812.

LCM(52803,52812) = 3⁴ × 5867¹ × 2² × 163¹
LCM(52803,52812) = 309848004