What is the Least Common Multiple of 43270 and 43286?

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 43270 and 43286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43270 and 43286, than apply into the LCM equation.

GCF(43270,43286) = 2
LCM(43270,43286) = ( 43270 × 43286) / 2
LCM(43270,43286) = 1872985220 / 2
LCM(43270,43286) = 936492610

Least Common Multiple (LCM) of 43270 and 43286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43270 and 43286. First we will calculate the prime factors of 43270 and 43286.

Prime Factorization of 43270

Prime Factorization of 43286

Now multiplying the highest exponent prime factors to calculate the LCM of 43270 and 43286.

LCM(43270,43286) = 2¹ × 5¹ × 4327¹ × 23¹ × 941¹
LCM(43270,43286) = 936492610