What is the Least Common Multiple of 22152 and 22165?

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 22165 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 22165, than apply into the LCM equation.

GCF(22152,22165) = 13
LCM(22152,22165) = ( 22152 × 22165) / 13
LCM(22152,22165) = 490999080 / 13
LCM(22152,22165) = 37769160

Least Common Multiple (LCM) of 22152 and 22165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22152 and 22165. First we will calculate the prime factors of 22152 and 22165.

Prime Factorization of 22152

Prime Factorization of 22165

Now multiplying the highest exponent prime factors to calculate the LCM of 22152 and 22165.

LCM(22152,22165) = 2³ × 3¹ × 13¹ × 71¹ × 5¹ × 11¹ × 31¹
LCM(22152,22165) = 37769160