What is the Least Common Multiple of 43170 and 43188?

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 43170 and 43188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43170 and 43188, than apply into the LCM equation.

GCF(43170,43188) = 6
LCM(43170,43188) = ( 43170 × 43188) / 6
LCM(43170,43188) = 1864425960 / 6
LCM(43170,43188) = 310737660

Least Common Multiple (LCM) of 43170 and 43188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43170 and 43188. First we will calculate the prime factors of 43170 and 43188.

Prime Factorization of 43170

Prime Factorization of 43188

Now multiplying the highest exponent prime factors to calculate the LCM of 43170 and 43188.

LCM(43170,43188) = 2² × 3¹ × 5¹ × 1439¹ × 59¹ × 61¹
LCM(43170,43188) = 310737660