What is the Least Common Multiple of 27696 and 27700?

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 27696 and 27700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27696 and 27700, than apply into the LCM equation.

GCF(27696,27700) = 4
LCM(27696,27700) = ( 27696 × 27700) / 4
LCM(27696,27700) = 767179200 / 4
LCM(27696,27700) = 191794800

Least Common Multiple (LCM) of 27696 and 27700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27696 and 27700. First we will calculate the prime factors of 27696 and 27700.

Prime Factorization of 27696

Prime Factorization of 27700

Now multiplying the highest exponent prime factors to calculate the LCM of 27696 and 27700.

LCM(27696,27700) = 2⁴ × 3¹ × 577¹ × 5² × 277¹
LCM(27696,27700) = 191794800