What is the Least Common Multiple of 52735 and 52740?

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 52735 and 52740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52735 and 52740, than apply into the LCM equation.

GCF(52735,52740) = 5
LCM(52735,52740) = ( 52735 × 52740) / 5
LCM(52735,52740) = 2781243900 / 5
LCM(52735,52740) = 556248780

Least Common Multiple (LCM) of 52735 and 52740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52735 and 52740. First we will calculate the prime factors of 52735 and 52740.

Prime Factorization of 52735

Prime Factorization of 52740

Now multiplying the highest exponent prime factors to calculate the LCM of 52735 and 52740.

LCM(52735,52740) = 5¹ × 53¹ × 199¹ × 2² × 3² × 293¹
LCM(52735,52740) = 556248780