What is the Least Common Multiple of 34164 and 34182?

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 34182 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 34182, than apply into the LCM equation.

GCF(34164,34182) = 18
LCM(34164,34182) = ( 34164 × 34182) / 18
LCM(34164,34182) = 1167793848 / 18
LCM(34164,34182) = 64877436

Least Common Multiple (LCM) of 34164 and 34182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34164 and 34182. First we will calculate the prime factors of 34164 and 34182.

Prime Factorization of 34164

Prime Factorization of 34182

Now multiplying the highest exponent prime factors to calculate the LCM of 34164 and 34182.

LCM(34164,34182) = 2² × 3⁴ × 13¹ × 73¹ × 211¹
LCM(34164,34182) = 64877436