What is the Least Common Multiple of 52257 and 52267?

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 52257 and 52267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52257 and 52267, than apply into the LCM equation.

GCF(52257,52267) = 1
LCM(52257,52267) = ( 52257 × 52267) / 1
LCM(52257,52267) = 2731316619 / 1
LCM(52257,52267) = 2731316619

Least Common Multiple (LCM) of 52257 and 52267 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52257 and 52267. First we will calculate the prime factors of 52257 and 52267.

Prime Factorization of 52257

Prime Factorization of 52267

Now multiplying the highest exponent prime factors to calculate the LCM of 52257 and 52267.

LCM(52257,52267) = 3¹ × 17419¹ × 52267¹
LCM(52257,52267) = 2731316619