What is the Least Common Multiple of 34152 and 34161?

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 34152 and 34161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34152 and 34161, than apply into the LCM equation.

GCF(34152,34161) = 3
LCM(34152,34161) = ( 34152 × 34161) / 3
LCM(34152,34161) = 1166666472 / 3
LCM(34152,34161) = 388888824

Least Common Multiple (LCM) of 34152 and 34161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34152 and 34161. First we will calculate the prime factors of 34152 and 34161.

Prime Factorization of 34152

Prime Factorization of 34161

Now multiplying the highest exponent prime factors to calculate the LCM of 34152 and 34161.

LCM(34152,34161) = 2³ × 3¹ × 1423¹ × 59¹ × 193¹
LCM(34152,34161) = 388888824