What is the Least Common Multiple of 43360 and 43366?

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 43360 and 43366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43360 and 43366, than apply into the LCM equation.

GCF(43360,43366) = 2
LCM(43360,43366) = ( 43360 × 43366) / 2
LCM(43360,43366) = 1880349760 / 2
LCM(43360,43366) = 940174880

Least Common Multiple (LCM) of 43360 and 43366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43360 and 43366. First we will calculate the prime factors of 43360 and 43366.

Prime Factorization of 43360

Prime Factorization of 43366

Now multiplying the highest exponent prime factors to calculate the LCM of 43360 and 43366.

LCM(43360,43366) = 2⁵ × 5¹ × 271¹ × 21683¹
LCM(43360,43366) = 940174880