What is the Least Common Multiple of 4175 and 4182?

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 4175 and 4182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4175 and 4182, than apply into the LCM equation.

GCF(4175,4182) = 1
LCM(4175,4182) = ( 4175 × 4182) / 1
LCM(4175,4182) = 17459850 / 1
LCM(4175,4182) = 17459850

Least Common Multiple (LCM) of 4175 and 4182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4175 and 4182. First we will calculate the prime factors of 4175 and 4182.

Prime Factorization of 4175

Prime Factorization of 4182

Now multiplying the highest exponent prime factors to calculate the LCM of 4175 and 4182.

LCM(4175,4182) = 5² × 167¹ × 2¹ × 3¹ × 17¹ × 41¹
LCM(4175,4182) = 17459850