What is the Least Common Multiple of 22608 and 22616?

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 22608 and 22616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22608 and 22616, than apply into the LCM equation.

GCF(22608,22616) = 8
LCM(22608,22616) = ( 22608 × 22616) / 8
LCM(22608,22616) = 511302528 / 8
LCM(22608,22616) = 63912816

Least Common Multiple (LCM) of 22608 and 22616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22608 and 22616. First we will calculate the prime factors of 22608 and 22616.

Prime Factorization of 22608

Prime Factorization of 22616

Now multiplying the highest exponent prime factors to calculate the LCM of 22608 and 22616.

LCM(22608,22616) = 2⁴ × 3² × 157¹ × 11¹ × 257¹
LCM(22608,22616) = 63912816