What is the Least Common Multiple of 22075 and 22094?

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 22075 and 22094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22075 and 22094, than apply into the LCM equation.

GCF(22075,22094) = 1
LCM(22075,22094) = ( 22075 × 22094) / 1
LCM(22075,22094) = 487725050 / 1
LCM(22075,22094) = 487725050

Least Common Multiple (LCM) of 22075 and 22094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22075 and 22094. First we will calculate the prime factors of 22075 and 22094.

Prime Factorization of 22075

Prime Factorization of 22094

Now multiplying the highest exponent prime factors to calculate the LCM of 22075 and 22094.

LCM(22075,22094) = 5² × 883¹ × 2¹ × 11047¹
LCM(22075,22094) = 487725050