What is the Least Common Multiple of 42735 and 42740?

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 42735 and 42740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42735 and 42740, than apply into the LCM equation.

GCF(42735,42740) = 5
LCM(42735,42740) = ( 42735 × 42740) / 5
LCM(42735,42740) = 1826493900 / 5
LCM(42735,42740) = 365298780

Least Common Multiple (LCM) of 42735 and 42740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42735 and 42740. First we will calculate the prime factors of 42735 and 42740.

Prime Factorization of 42735

Prime Factorization of 42740

Now multiplying the highest exponent prime factors to calculate the LCM of 42735 and 42740.

LCM(42735,42740) = 3¹ × 5¹ × 7¹ × 11¹ × 37¹ × 2² × 2137¹
LCM(42735,42740) = 365298780