What is the Least Common Multiple of 42360 and 42370?

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 42360 and 42370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42360 and 42370, than apply into the LCM equation.

GCF(42360,42370) = 10
LCM(42360,42370) = ( 42360 × 42370) / 10
LCM(42360,42370) = 1794793200 / 10
LCM(42360,42370) = 179479320

Least Common Multiple (LCM) of 42360 and 42370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42360 and 42370. First we will calculate the prime factors of 42360 and 42370.

Prime Factorization of 42360

Prime Factorization of 42370

Now multiplying the highest exponent prime factors to calculate the LCM of 42360 and 42370.

LCM(42360,42370) = 2³ × 3¹ × 5¹ × 353¹ × 19¹ × 223¹
LCM(42360,42370) = 179479320