What is the Least Common Multiple of 22290 and 22300?

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 22290 and 22300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22290 and 22300, than apply into the LCM equation.

GCF(22290,22300) = 10
LCM(22290,22300) = ( 22290 × 22300) / 10
LCM(22290,22300) = 497067000 / 10
LCM(22290,22300) = 49706700

Least Common Multiple (LCM) of 22290 and 22300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22290 and 22300. First we will calculate the prime factors of 22290 and 22300.

Prime Factorization of 22290

Prime Factorization of 22300

Now multiplying the highest exponent prime factors to calculate the LCM of 22290 and 22300.

LCM(22290,22300) = 2² × 3¹ × 5² × 743¹ × 223¹
LCM(22290,22300) = 49706700