What is the Least Common Multiple of 42072 and 42089?

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 42072 and 42089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42072 and 42089, than apply into the LCM equation.

GCF(42072,42089) = 1
LCM(42072,42089) = ( 42072 × 42089) / 1
LCM(42072,42089) = 1770768408 / 1
LCM(42072,42089) = 1770768408

Least Common Multiple (LCM) of 42072 and 42089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42072 and 42089. First we will calculate the prime factors of 42072 and 42089.

Prime Factorization of 42072

Prime Factorization of 42089

Now multiplying the highest exponent prime factors to calculate the LCM of 42072 and 42089.

LCM(42072,42089) = 2³ × 3¹ × 1753¹ × 42089¹
LCM(42072,42089) = 1770768408