What is the Least Common Multiple of 22075 and 22092?

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 22092 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 22092, than apply into the LCM equation.

GCF(22075,22092) = 1
LCM(22075,22092) = ( 22075 × 22092) / 1
LCM(22075,22092) = 487680900 / 1
LCM(22075,22092) = 487680900

Least Common Multiple (LCM) of 22075 and 22092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22075 and 22092. First we will calculate the prime factors of 22075 and 22092.

Prime Factorization of 22075

Prime Factorization of 22092

Now multiplying the highest exponent prime factors to calculate the LCM of 22075 and 22092.

LCM(22075,22092) = 5² × 883¹ × 2² × 3¹ × 7¹ × 263¹
LCM(22075,22092) = 487680900