What is the Least Common Multiple of 22152 and 22157?

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 22152 and 22157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22152 and 22157, than apply into the LCM equation.

GCF(22152,22157) = 1
LCM(22152,22157) = ( 22152 × 22157) / 1
LCM(22152,22157) = 490821864 / 1
LCM(22152,22157) = 490821864

Least Common Multiple (LCM) of 22152 and 22157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22152 and 22157. First we will calculate the prime factors of 22152 and 22157.

Prime Factorization of 22152

Prime Factorization of 22157

Now multiplying the highest exponent prime factors to calculate the LCM of 22152 and 22157.

LCM(22152,22157) = 2³ × 3¹ × 13¹ × 71¹ × 22157¹
LCM(22152,22157) = 490821864