What is the Least Common Multiple of 42714 and 42728?

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 42714 and 42728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42714 and 42728, than apply into the LCM equation.

GCF(42714,42728) = 14
LCM(42714,42728) = ( 42714 × 42728) / 14
LCM(42714,42728) = 1825083792 / 14
LCM(42714,42728) = 130363128

Least Common Multiple (LCM) of 42714 and 42728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42714 and 42728. First we will calculate the prime factors of 42714 and 42728.

Prime Factorization of 42714

Prime Factorization of 42728

Now multiplying the highest exponent prime factors to calculate the LCM of 42714 and 42728.

LCM(42714,42728) = 2³ × 3³ × 7² × 113¹ × 109¹
LCM(42714,42728) = 130363128