What is the Least Common Multiple of 27719 and 27736?

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 27719 and 27736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27719 and 27736, than apply into the LCM equation.

GCF(27719,27736) = 1
LCM(27719,27736) = ( 27719 × 27736) / 1
LCM(27719,27736) = 768814184 / 1
LCM(27719,27736) = 768814184

Least Common Multiple (LCM) of 27719 and 27736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27719 and 27736. First we will calculate the prime factors of 27719 and 27736.

Prime Factorization of 27719

Prime Factorization of 27736

Now multiplying the highest exponent prime factors to calculate the LCM of 27719 and 27736.

LCM(27719,27736) = 53¹ × 523¹ × 2³ × 3467¹
LCM(27719,27736) = 768814184