What is the Least Common Multiple of 48168 and 48182?

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 48168 and 48182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48168 and 48182, than apply into the LCM equation.

GCF(48168,48182) = 2
LCM(48168,48182) = ( 48168 × 48182) / 2
LCM(48168,48182) = 2320830576 / 2
LCM(48168,48182) = 1160415288

Least Common Multiple (LCM) of 48168 and 48182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48168 and 48182. First we will calculate the prime factors of 48168 and 48182.

Prime Factorization of 48168

Prime Factorization of 48182

Now multiplying the highest exponent prime factors to calculate the LCM of 48168 and 48182.

LCM(48168,48182) = 2³ × 3³ × 223¹ × 24091¹
LCM(48168,48182) = 1160415288