What is the Least Common Multiple of 27645 and 27660?

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 27645 and 27660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27645 and 27660, than apply into the LCM equation.

GCF(27645,27660) = 15
LCM(27645,27660) = ( 27645 × 27660) / 15
LCM(27645,27660) = 764660700 / 15
LCM(27645,27660) = 50977380

Least Common Multiple (LCM) of 27645 and 27660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27645 and 27660. First we will calculate the prime factors of 27645 and 27660.

Prime Factorization of 27645

Prime Factorization of 27660

Now multiplying the highest exponent prime factors to calculate the LCM of 27645 and 27660.

LCM(27645,27660) = 3¹ × 5¹ × 19¹ × 97¹ × 2² × 461¹
LCM(27645,27660) = 50977380