What is the Least Common Multiple of 42728 and 42735?

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 42728 and 42735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42728 and 42735, than apply into the LCM equation.

GCF(42728,42735) = 7
LCM(42728,42735) = ( 42728 × 42735) / 7
LCM(42728,42735) = 1825981080 / 7
LCM(42728,42735) = 260854440

Least Common Multiple (LCM) of 42728 and 42735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42728 and 42735. First we will calculate the prime factors of 42728 and 42735.

Prime Factorization of 42728

Prime Factorization of 42735

Now multiplying the highest exponent prime factors to calculate the LCM of 42728 and 42735.

LCM(42728,42735) = 2³ × 7² × 109¹ × 3¹ × 5¹ × 11¹ × 37¹
LCM(42728,42735) = 260854440