What is the Least Common Multiple of 42160 and 42170?

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 42160 and 42170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42160 and 42170, than apply into the LCM equation.

GCF(42160,42170) = 10
LCM(42160,42170) = ( 42160 × 42170) / 10
LCM(42160,42170) = 1777887200 / 10
LCM(42160,42170) = 177788720

Least Common Multiple (LCM) of 42160 and 42170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42160 and 42170. First we will calculate the prime factors of 42160 and 42170.

Prime Factorization of 42160

Prime Factorization of 42170

Now multiplying the highest exponent prime factors to calculate the LCM of 42160 and 42170.

LCM(42160,42170) = 2⁴ × 5¹ × 17¹ × 31¹ × 4217¹
LCM(42160,42170) = 177788720