What is the Least Common Multiple of 43155 and 43164?

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 43155 and 43164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43155 and 43164, than apply into the LCM equation.

GCF(43155,43164) = 9
LCM(43155,43164) = ( 43155 × 43164) / 9
LCM(43155,43164) = 1862742420 / 9
LCM(43155,43164) = 206971380

Least Common Multiple (LCM) of 43155 and 43164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43155 and 43164. First we will calculate the prime factors of 43155 and 43164.

Prime Factorization of 43155

Prime Factorization of 43164

Now multiplying the highest exponent prime factors to calculate the LCM of 43155 and 43164.

LCM(43155,43164) = 3² × 5¹ × 7¹ × 137¹ × 2² × 11¹ × 109¹
LCM(43155,43164) = 206971380