GCF and LCM Calculator Logo

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 (LCM) of 4185 and 4197 is 5854815.

LCM(4185,4197) = 5854815

LCM Calculator and
and

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 factors of 4185 are 3, 5, 31. Prime factorization of 4185 in exponential form is:

4185 = 33 × 51 × 311

Prime Factorization of 4197

Prime factors of 4197 are 3, 1399. Prime factorization of 4197 in exponential form is:

4197 = 31 × 13991

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