What is the Least Common Multiple of 42120 and 42130?

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 42120 and 42130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42120 and 42130, than apply into the LCM equation.

GCF(42120,42130) = 10
LCM(42120,42130) = ( 42120 × 42130) / 10
LCM(42120,42130) = 1774515600 / 10
LCM(42120,42130) = 177451560

Least Common Multiple (LCM) of 42120 and 42130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42120 and 42130. First we will calculate the prime factors of 42120 and 42130.

Prime Factorization of 42120

Prime Factorization of 42130

Now multiplying the highest exponent prime factors to calculate the LCM of 42120 and 42130.

LCM(42120,42130) = 2³ × 3⁴ × 5¹ × 13¹ × 11¹ × 383¹
LCM(42120,42130) = 177451560