What is the Least Common Multiple of 4185 and 4198?

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 4198 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 4198, than apply into the LCM equation.

GCF(4185,4198) = 1
LCM(4185,4198) = ( 4185 × 4198) / 1
LCM(4185,4198) = 17568630 / 1
LCM(4185,4198) = 17568630

Least Common Multiple (LCM) of 4185 and 4198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4185 and 4198. First we will calculate the prime factors of 4185 and 4198.

Prime Factorization of 4185

Prime Factorization of 4198

Now multiplying the highest exponent prime factors to calculate the LCM of 4185 and 4198.

LCM(4185,4198) = 3³ × 5¹ × 31¹ × 2¹ × 2099¹
LCM(4185,4198) = 17568630