What is the Least Common Multiple of 22419 and 22428?

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 22419 and 22428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22419 and 22428, than apply into the LCM equation.

GCF(22419,22428) = 9
LCM(22419,22428) = ( 22419 × 22428) / 9
LCM(22419,22428) = 502813332 / 9
LCM(22419,22428) = 55868148

Least Common Multiple (LCM) of 22419 and 22428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22419 and 22428. First we will calculate the prime factors of 22419 and 22428.

Prime Factorization of 22419

Prime Factorization of 22428

Now multiplying the highest exponent prime factors to calculate the LCM of 22419 and 22428.

LCM(22419,22428) = 3² × 47¹ × 53¹ × 2² × 7¹ × 89¹
LCM(22419,22428) = 55868148