What is the Least Common Multiple of 52251 and 52269?

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 52251 and 52269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52251 and 52269, than apply into the LCM equation.

GCF(52251,52269) = 3
LCM(52251,52269) = ( 52251 × 52269) / 3
LCM(52251,52269) = 2731107519 / 3
LCM(52251,52269) = 910369173

Least Common Multiple (LCM) of 52251 and 52269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52251 and 52269. First we will calculate the prime factors of 52251 and 52269.

Prime Factorization of 52251

Prime Factorization of 52269

Now multiplying the highest exponent prime factors to calculate the LCM of 52251 and 52269.

LCM(52251,52269) = 3¹ × 17417¹ × 7¹ × 19¹ × 131¹
LCM(52251,52269) = 910369173