What is the Least Common Multiple of 43080 and 43089?

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 43080 and 43089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43080 and 43089, than apply into the LCM equation.

GCF(43080,43089) = 3
LCM(43080,43089) = ( 43080 × 43089) / 3
LCM(43080,43089) = 1856274120 / 3
LCM(43080,43089) = 618758040

Least Common Multiple (LCM) of 43080 and 43089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43080 and 43089. First we will calculate the prime factors of 43080 and 43089.

Prime Factorization of 43080

Prime Factorization of 43089

Now multiplying the highest exponent prime factors to calculate the LCM of 43080 and 43089.

LCM(43080,43089) = 2³ × 3¹ × 5¹ × 359¹ × 53¹ × 271¹
LCM(43080,43089) = 618758040