What is the Least Common Multiple of 34160 and 34170?

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 34160 and 34170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34160 and 34170, than apply into the LCM equation.

GCF(34160,34170) = 10
LCM(34160,34170) = ( 34160 × 34170) / 10
LCM(34160,34170) = 1167247200 / 10
LCM(34160,34170) = 116724720

Least Common Multiple (LCM) of 34160 and 34170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34160 and 34170. First we will calculate the prime factors of 34160 and 34170.

Prime Factorization of 34160

Prime Factorization of 34170

Now multiplying the highest exponent prime factors to calculate the LCM of 34160 and 34170.

LCM(34160,34170) = 2⁴ × 5¹ × 7¹ × 61¹ × 3¹ × 17¹ × 67¹
LCM(34160,34170) = 116724720