What is the Least Common Multiple of 43188 and 43201?

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 43201 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 43201, than apply into the LCM equation.

GCF(43188,43201) = 1
LCM(43188,43201) = ( 43188 × 43201) / 1
LCM(43188,43201) = 1865764788 / 1
LCM(43188,43201) = 1865764788

Least Common Multiple (LCM) of 43188 and 43201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43188 and 43201. First we will calculate the prime factors of 43188 and 43201.

Prime Factorization of 43188

Prime Factorization of 43201

Now multiplying the highest exponent prime factors to calculate the LCM of 43188 and 43201.

LCM(43188,43201) = 2² × 3¹ × 59¹ × 61¹ × 43201¹
LCM(43188,43201) = 1865764788