What is the Least Common Multiple of 27546 and 27564?

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 27546 and 27564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27546 and 27564, than apply into the LCM equation.

GCF(27546,27564) = 6
LCM(27546,27564) = ( 27546 × 27564) / 6
LCM(27546,27564) = 759277944 / 6
LCM(27546,27564) = 126546324

Least Common Multiple (LCM) of 27546 and 27564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27546 and 27564. First we will calculate the prime factors of 27546 and 27564.

Prime Factorization of 27546

Prime Factorization of 27564

Now multiplying the highest exponent prime factors to calculate the LCM of 27546 and 27564.

LCM(27546,27564) = 2² × 3¹ × 4591¹ × 2297¹
LCM(27546,27564) = 126546324