What is the Least Common Multiple of 27712 and 27724?

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 27712 and 27724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27712 and 27724, than apply into the LCM equation.

GCF(27712,27724) = 4
LCM(27712,27724) = ( 27712 × 27724) / 4
LCM(27712,27724) = 768287488 / 4
LCM(27712,27724) = 192071872

Least Common Multiple (LCM) of 27712 and 27724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27712 and 27724. First we will calculate the prime factors of 27712 and 27724.

Prime Factorization of 27712

Prime Factorization of 27724

Now multiplying the highest exponent prime factors to calculate the LCM of 27712 and 27724.

LCM(27712,27724) = 2⁶ × 433¹ × 29¹ × 239¹
LCM(27712,27724) = 192071872