What is the Least Common Multiple of 22125 and 22138?

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 22125 and 22138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22125 and 22138, than apply into the LCM equation.

GCF(22125,22138) = 1
LCM(22125,22138) = ( 22125 × 22138) / 1
LCM(22125,22138) = 489803250 / 1
LCM(22125,22138) = 489803250

Least Common Multiple (LCM) of 22125 and 22138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22125 and 22138. First we will calculate the prime factors of 22125 and 22138.

Prime Factorization of 22125

Prime Factorization of 22138

Now multiplying the highest exponent prime factors to calculate the LCM of 22125 and 22138.

LCM(22125,22138) = 3¹ × 5³ × 59¹ × 2¹ × 11069¹
LCM(22125,22138) = 489803250