What is the Least Common Multiple of 52236 and 52251?

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 52236 and 52251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52236 and 52251, than apply into the LCM equation.

GCF(52236,52251) = 3
LCM(52236,52251) = ( 52236 × 52251) / 3
LCM(52236,52251) = 2729383236 / 3
LCM(52236,52251) = 909794412

Least Common Multiple (LCM) of 52236 and 52251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52236 and 52251. First we will calculate the prime factors of 52236 and 52251.

Prime Factorization of 52236

Prime Factorization of 52251

Now multiplying the highest exponent prime factors to calculate the LCM of 52236 and 52251.

LCM(52236,52251) = 2² × 3² × 1451¹ × 17417¹
LCM(52236,52251) = 909794412