What is the Least Common Multiple of 27608 and 27625?

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 27625 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 27625, than apply into the LCM equation.

GCF(27608,27625) = 17
LCM(27608,27625) = ( 27608 × 27625) / 17
LCM(27608,27625) = 762671000 / 17
LCM(27608,27625) = 44863000

Least Common Multiple (LCM) of 27608 and 27625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27608 and 27625. First we will calculate the prime factors of 27608 and 27625.

Prime Factorization of 27608

Prime Factorization of 27625

Now multiplying the highest exponent prime factors to calculate the LCM of 27608 and 27625.

LCM(27608,27625) = 2³ × 7¹ × 17¹ × 29¹ × 5³ × 13¹
LCM(27608,27625) = 44863000