What is the Least Common Multiple of 4189 and 4200?

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 4189 and 4200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4189 and 4200, than apply into the LCM equation.

GCF(4189,4200) = 1
LCM(4189,4200) = ( 4189 × 4200) / 1
LCM(4189,4200) = 17593800 / 1
LCM(4189,4200) = 17593800

Least Common Multiple (LCM) of 4189 and 4200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4189 and 4200. First we will calculate the prime factors of 4189 and 4200.

Prime Factorization of 4189

Prime Factorization of 4200

Now multiplying the highest exponent prime factors to calculate the LCM of 4189 and 4200.

LCM(4189,4200) = 59¹ × 71¹ × 2³ × 3¹ × 5² × 7¹
LCM(4189,4200) = 17593800