What is the Least Common Multiple of 43065 and 43080?

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 43065 and 43080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43065 and 43080, than apply into the LCM equation.

GCF(43065,43080) = 15
LCM(43065,43080) = ( 43065 × 43080) / 15
LCM(43065,43080) = 1855240200 / 15
LCM(43065,43080) = 123682680

Least Common Multiple (LCM) of 43065 and 43080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43065 and 43080. First we will calculate the prime factors of 43065 and 43080.

Prime Factorization of 43065

Prime Factorization of 43080

Now multiplying the highest exponent prime factors to calculate the LCM of 43065 and 43080.

LCM(43065,43080) = 3³ × 5¹ × 11¹ × 29¹ × 2³ × 359¹
LCM(43065,43080) = 123682680