What is the Least Common Multiple of 52249 and 52257?

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 52249 and 52257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52249 and 52257, than apply into the LCM equation.

GCF(52249,52257) = 1
LCM(52249,52257) = ( 52249 × 52257) / 1
LCM(52249,52257) = 2730375993 / 1
LCM(52249,52257) = 2730375993

Least Common Multiple (LCM) of 52249 and 52257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52249 and 52257. First we will calculate the prime factors of 52249 and 52257.

Prime Factorization of 52249

Prime Factorization of 52257

Now multiplying the highest exponent prime factors to calculate the LCM of 52249 and 52257.

LCM(52249,52257) = 52249¹ × 3¹ × 17419¹
LCM(52249,52257) = 2730375993