What is the Least Common Multiple of 4185 and 4199?

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 4185 and 4199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4185 and 4199, than apply into the LCM equation.

GCF(4185,4199) = 1
LCM(4185,4199) = ( 4185 × 4199) / 1
LCM(4185,4199) = 17572815 / 1
LCM(4185,4199) = 17572815

Least Common Multiple (LCM) of 4185 and 4199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4185 and 4199. First we will calculate the prime factors of 4185 and 4199.

Prime Factorization of 4185

Prime Factorization of 4199

Now multiplying the highest exponent prime factors to calculate the LCM of 4185 and 4199.

LCM(4185,4199) = 3³ × 5¹ × 31¹ × 13¹ × 17¹ × 19¹
LCM(4185,4199) = 17572815