What is the Least Common Multiple of 27546 and 27561?

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 27561 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 27561, than apply into the LCM equation.

GCF(27546,27561) = 3
LCM(27546,27561) = ( 27546 × 27561) / 3
LCM(27546,27561) = 759195306 / 3
LCM(27546,27561) = 253065102

Least Common Multiple (LCM) of 27546 and 27561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27546 and 27561. First we will calculate the prime factors of 27546 and 27561.

Prime Factorization of 27546

Prime Factorization of 27561

Now multiplying the highest exponent prime factors to calculate the LCM of 27546 and 27561.

LCM(27546,27561) = 2¹ × 3¹ × 4591¹ × 9187¹
LCM(27546,27561) = 253065102