What is the Least Common Multiple of 22548 and 22567?

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 22548 and 22567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22548 and 22567, than apply into the LCM equation.

GCF(22548,22567) = 1
LCM(22548,22567) = ( 22548 × 22567) / 1
LCM(22548,22567) = 508840716 / 1
LCM(22548,22567) = 508840716

Least Common Multiple (LCM) of 22548 and 22567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22548 and 22567. First we will calculate the prime factors of 22548 and 22567.

Prime Factorization of 22548

Prime Factorization of 22567

Now multiplying the highest exponent prime factors to calculate the LCM of 22548 and 22567.

LCM(22548,22567) = 2² × 3¹ × 1879¹ × 22567¹
LCM(22548,22567) = 508840716