What is the Least Common Multiple of 43560 and 43569?

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 43560 and 43569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43560 and 43569, than apply into the LCM equation.

GCF(43560,43569) = 9
LCM(43560,43569) = ( 43560 × 43569) / 9
LCM(43560,43569) = 1897865640 / 9
LCM(43560,43569) = 210873960

Least Common Multiple (LCM) of 43560 and 43569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43560 and 43569. First we will calculate the prime factors of 43560 and 43569.

Prime Factorization of 43560

Prime Factorization of 43569

Now multiplying the highest exponent prime factors to calculate the LCM of 43560 and 43569.

LCM(43560,43569) = 2³ × 3² × 5¹ × 11² × 47¹ × 103¹
LCM(43560,43569) = 210873960