What is the Least Common Multiple of 22125 and 22142?

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 22142 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 22142, than apply into the LCM equation.

GCF(22125,22142) = 1
LCM(22125,22142) = ( 22125 × 22142) / 1
LCM(22125,22142) = 489891750 / 1
LCM(22125,22142) = 489891750

Least Common Multiple (LCM) of 22125 and 22142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22125 and 22142. First we will calculate the prime factors of 22125 and 22142.

Prime Factorization of 22125

Prime Factorization of 22142

Now multiplying the highest exponent prime factors to calculate the LCM of 22125 and 22142.

LCM(22125,22142) = 3¹ × 5³ × 59¹ × 2¹ × 11071¹
LCM(22125,22142) = 489891750