What is the Least Common Multiple of 4188 and 4201?

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 4188 and 4201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4188 and 4201, than apply into the LCM equation.

GCF(4188,4201) = 1
LCM(4188,4201) = ( 4188 × 4201) / 1
LCM(4188,4201) = 17593788 / 1
LCM(4188,4201) = 17593788

Least Common Multiple (LCM) of 4188 and 4201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4188 and 4201. First we will calculate the prime factors of 4188 and 4201.

Prime Factorization of 4188

Prime Factorization of 4201

Now multiplying the highest exponent prime factors to calculate the LCM of 4188 and 4201.

LCM(4188,4201) = 2² × 3¹ × 349¹ × 4201¹
LCM(4188,4201) = 17593788