What is the Least Common Multiple of 4185 and 4197?

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 4197 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 4197, than apply into the LCM equation.

GCF(4185,4197) = 3
LCM(4185,4197) = ( 4185 × 4197) / 3
LCM(4185,4197) = 17564445 / 3
LCM(4185,4197) = 5854815

Least Common Multiple (LCM) of 4185 and 4197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4185 and 4197. First we will calculate the prime factors of 4185 and 4197.

Prime Factorization of 4185

Prime Factorization of 4197

Now multiplying the highest exponent prime factors to calculate the LCM of 4185 and 4197.

LCM(4185,4197) = 3³ × 5¹ × 31¹ × 1399¹
LCM(4185,4197) = 5854815