What is the Least Common Multiple of 52884 and 52893?

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 52884 and 52893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52884 and 52893, than apply into the LCM equation.

GCF(52884,52893) = 9
LCM(52884,52893) = ( 52884 × 52893) / 9
LCM(52884,52893) = 2797193412 / 9
LCM(52884,52893) = 310799268

Least Common Multiple (LCM) of 52884 and 52893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52884 and 52893. First we will calculate the prime factors of 52884 and 52893.

Prime Factorization of 52884

Prime Factorization of 52893

Now multiplying the highest exponent prime factors to calculate the LCM of 52884 and 52893.

LCM(52884,52893) = 2² × 3⁴ × 13¹ × 113¹ × 653¹
LCM(52884,52893) = 310799268