What is the Least Common Multiple of 6172 and 6182?

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 6172 and 6182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6172 and 6182, than apply into the LCM equation.

GCF(6172,6182) = 2
LCM(6172,6182) = ( 6172 × 6182) / 2
LCM(6172,6182) = 38155304 / 2
LCM(6172,6182) = 19077652

Least Common Multiple (LCM) of 6172 and 6182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6172 and 6182. First we will calculate the prime factors of 6172 and 6182.

Prime Factorization of 6172

Prime Factorization of 6182

Now multiplying the highest exponent prime factors to calculate the LCM of 6172 and 6182.

LCM(6172,6182) = 2² × 1543¹ × 11¹ × 281¹
LCM(6172,6182) = 19077652