What is the Least Common Multiple of 42150 and 42160?

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 42150 and 42160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42150 and 42160, than apply into the LCM equation.

GCF(42150,42160) = 10
LCM(42150,42160) = ( 42150 × 42160) / 10
LCM(42150,42160) = 1777044000 / 10
LCM(42150,42160) = 177704400

Least Common Multiple (LCM) of 42150 and 42160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42150 and 42160. First we will calculate the prime factors of 42150 and 42160.

Prime Factorization of 42150

Prime Factorization of 42160

Now multiplying the highest exponent prime factors to calculate the LCM of 42150 and 42160.

LCM(42150,42160) = 2⁴ × 3¹ × 5² × 281¹ × 17¹ × 31¹
LCM(42150,42160) = 177704400