What is the Least Common Multiple of 27608 and 27616?

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 27608 and 27616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27608 and 27616, than apply into the LCM equation.

GCF(27608,27616) = 8
LCM(27608,27616) = ( 27608 × 27616) / 8
LCM(27608,27616) = 762422528 / 8
LCM(27608,27616) = 95302816

Least Common Multiple (LCM) of 27608 and 27616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27608 and 27616. First we will calculate the prime factors of 27608 and 27616.

Prime Factorization of 27608

Prime Factorization of 27616

Now multiplying the highest exponent prime factors to calculate the LCM of 27608 and 27616.

LCM(27608,27616) = 2⁵ × 7¹ × 17¹ × 29¹ × 863¹
LCM(27608,27616) = 95302816