What is the Least Common Multiple of 22820 and 22827?

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 22820 and 22827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22820 and 22827, than apply into the LCM equation.

GCF(22820,22827) = 7
LCM(22820,22827) = ( 22820 × 22827) / 7
LCM(22820,22827) = 520912140 / 7
LCM(22820,22827) = 74416020

Least Common Multiple (LCM) of 22820 and 22827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22820 and 22827. First we will calculate the prime factors of 22820 and 22827.

Prime Factorization of 22820

Prime Factorization of 22827

Now multiplying the highest exponent prime factors to calculate the LCM of 22820 and 22827.

LCM(22820,22827) = 2² × 5¹ × 7¹ × 163¹ × 3¹ × 1087¹
LCM(22820,22827) = 74416020