What is the Least Common Multiple of 42175 and 42184?

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 42175 and 42184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42175 and 42184, than apply into the LCM equation.

GCF(42175,42184) = 1
LCM(42175,42184) = ( 42175 × 42184) / 1
LCM(42175,42184) = 1779110200 / 1
LCM(42175,42184) = 1779110200

Least Common Multiple (LCM) of 42175 and 42184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42175 and 42184. First we will calculate the prime factors of 42175 and 42184.

Prime Factorization of 42175

Prime Factorization of 42184

Now multiplying the highest exponent prime factors to calculate the LCM of 42175 and 42184.

LCM(42175,42184) = 5² × 7¹ × 241¹ × 2³ × 5273¹
LCM(42175,42184) = 1779110200