What is the Least Common Multiple of 27612 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 27612 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 27612 and 27625, than apply into the LCM equation.

GCF(27612,27625) = 13
LCM(27612,27625) = ( 27612 × 27625) / 13
LCM(27612,27625) = 762781500 / 13
LCM(27612,27625) = 58675500

Least Common Multiple (LCM) of 27612 and 27625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27612 and 27625. First we will calculate the prime factors of 27612 and 27625.

Prime Factorization of 27612

Prime Factorization of 27625

Now multiplying the highest exponent prime factors to calculate the LCM of 27612 and 27625.

LCM(27612,27625) = 2² × 3² × 13¹ × 59¹ × 5³ × 17¹
LCM(27612,27625) = 58675500