What is the Least Common Multiple of 68168 and 68182?

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 68168 and 68182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68168 and 68182, than apply into the LCM equation.

GCF(68168,68182) = 2
LCM(68168,68182) = ( 68168 × 68182) / 2
LCM(68168,68182) = 4647830576 / 2
LCM(68168,68182) = 2323915288

Least Common Multiple (LCM) of 68168 and 68182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68168 and 68182. First we will calculate the prime factors of 68168 and 68182.

Prime Factorization of 68168

Prime Factorization of 68182

Now multiplying the highest exponent prime factors to calculate the LCM of 68168 and 68182.

LCM(68168,68182) = 2³ × 8521¹ × 73¹ × 467¹
LCM(68168,68182) = 2323915288