What is the Least Common Multiple of 27696 and 27715?

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 27715 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 27715, than apply into the LCM equation.

GCF(27696,27715) = 1
LCM(27696,27715) = ( 27696 × 27715) / 1
LCM(27696,27715) = 767594640 / 1
LCM(27696,27715) = 767594640

Least Common Multiple (LCM) of 27696 and 27715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27696 and 27715. First we will calculate the prime factors of 27696 and 27715.

Prime Factorization of 27696

Prime Factorization of 27715

Now multiplying the highest exponent prime factors to calculate the LCM of 27696 and 27715.

LCM(27696,27715) = 2⁴ × 3¹ × 577¹ × 5¹ × 23¹ × 241¹
LCM(27696,27715) = 767594640