What is the Least Common Multiple of 22519 and 22536?

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 22519 and 22536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22519 and 22536, than apply into the LCM equation.

GCF(22519,22536) = 1
LCM(22519,22536) = ( 22519 × 22536) / 1
LCM(22519,22536) = 507488184 / 1
LCM(22519,22536) = 507488184

Least Common Multiple (LCM) of 22519 and 22536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22519 and 22536. First we will calculate the prime factors of 22519 and 22536.

Prime Factorization of 22519

Prime Factorization of 22536

Now multiplying the highest exponent prime factors to calculate the LCM of 22519 and 22536.

LCM(22519,22536) = 7¹ × 3217¹ × 2³ × 3² × 313¹
LCM(22519,22536) = 507488184