What is the Least Common Multiple of 34164 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 34164 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 34164 and 34176, than apply into the LCM equation.

GCF(34164,34176) = 12
LCM(34164,34176) = ( 34164 × 34176) / 12
LCM(34164,34176) = 1167588864 / 12
LCM(34164,34176) = 97299072

Least Common Multiple (LCM) of 34164 and 34176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34164 and 34176. First we will calculate the prime factors of 34164 and 34176.

Prime Factorization of 34164

Prime Factorization of 34176

Now multiplying the highest exponent prime factors to calculate the LCM of 34164 and 34176.

LCM(34164,34176) = 2⁷ × 3² × 13¹ × 73¹ × 89¹
LCM(34164,34176) = 97299072