What is the Least Common Multiple of 34160 and 34176?

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 34176 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 34176, than apply into the LCM equation.

GCF(34160,34176) = 16
LCM(34160,34176) = ( 34160 × 34176) / 16
LCM(34160,34176) = 1167452160 / 16
LCM(34160,34176) = 72965760

Least Common Multiple (LCM) of 34160 and 34176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34160 and 34176. First we will calculate the prime factors of 34160 and 34176.

Prime Factorization of 34160

Prime Factorization of 34176

Now multiplying the highest exponent prime factors to calculate the LCM of 34160 and 34176.

LCM(34160,34176) = 2⁷ × 5¹ × 7¹ × 61¹ × 3¹ × 89¹
LCM(34160,34176) = 72965760