What is the Least Common Multiple of 43188 and 43193?

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 43188 and 43193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43188 and 43193, than apply into the LCM equation.

GCF(43188,43193) = 1
LCM(43188,43193) = ( 43188 × 43193) / 1
LCM(43188,43193) = 1865419284 / 1
LCM(43188,43193) = 1865419284

Least Common Multiple (LCM) of 43188 and 43193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43188 and 43193. First we will calculate the prime factors of 43188 and 43193.

Prime Factorization of 43188

Prime Factorization of 43193

Now multiplying the highest exponent prime factors to calculate the LCM of 43188 and 43193.

LCM(43188,43193) = 2² × 3¹ × 59¹ × 61¹ × 47¹ × 919¹
LCM(43188,43193) = 1865419284