What is the Least Common Multiple of 43188 and 43198?

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 43198 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 43198, than apply into the LCM equation.

GCF(43188,43198) = 2
LCM(43188,43198) = ( 43188 × 43198) / 2
LCM(43188,43198) = 1865635224 / 2
LCM(43188,43198) = 932817612

Least Common Multiple (LCM) of 43188 and 43198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43188 and 43198. First we will calculate the prime factors of 43188 and 43198.

Prime Factorization of 43188

Prime Factorization of 43198

Now multiplying the highest exponent prime factors to calculate the LCM of 43188 and 43198.

LCM(43188,43198) = 2² × 3¹ × 59¹ × 61¹ × 21599¹
LCM(43188,43198) = 932817612