What is the Least Common Multiple of 22115 and 22127?

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 22115 and 22127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22115 and 22127, than apply into the LCM equation.

GCF(22115,22127) = 1
LCM(22115,22127) = ( 22115 × 22127) / 1
LCM(22115,22127) = 489338605 / 1
LCM(22115,22127) = 489338605

Least Common Multiple (LCM) of 22115 and 22127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22115 and 22127. First we will calculate the prime factors of 22115 and 22127.

Prime Factorization of 22115

Prime Factorization of 22127

Now multiplying the highest exponent prime factors to calculate the LCM of 22115 and 22127.

LCM(22115,22127) = 5¹ × 4423¹ × 7¹ × 29¹ × 109¹
LCM(22115,22127) = 489338605