What is the Least Common Multiple of 27735 and 27740?

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 27735 and 27740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27735 and 27740, than apply into the LCM equation.

GCF(27735,27740) = 5
LCM(27735,27740) = ( 27735 × 27740) / 5
LCM(27735,27740) = 769368900 / 5
LCM(27735,27740) = 153873780

Least Common Multiple (LCM) of 27735 and 27740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27735 and 27740. First we will calculate the prime factors of 27735 and 27740.

Prime Factorization of 27735

Prime Factorization of 27740

Now multiplying the highest exponent prime factors to calculate the LCM of 27735 and 27740.

LCM(27735,27740) = 3¹ × 5¹ × 43² × 2² × 19¹ × 73¹
LCM(27735,27740) = 153873780