What is the Least Common Multiple of 27524 and 27536?

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 27524 and 27536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27524 and 27536, than apply into the LCM equation.

GCF(27524,27536) = 4
LCM(27524,27536) = ( 27524 × 27536) / 4
LCM(27524,27536) = 757900864 / 4
LCM(27524,27536) = 189475216

Least Common Multiple (LCM) of 27524 and 27536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27524 and 27536. First we will calculate the prime factors of 27524 and 27536.

Prime Factorization of 27524

Prime Factorization of 27536

Now multiplying the highest exponent prime factors to calculate the LCM of 27524 and 27536.

LCM(27524,27536) = 2⁴ × 7¹ × 983¹ × 1721¹
LCM(27524,27536) = 189475216