What is the Least Common Multiple of 43712 and 43731?

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 43712 and 43731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43712 and 43731, than apply into the LCM equation.

GCF(43712,43731) = 1
LCM(43712,43731) = ( 43712 × 43731) / 1
LCM(43712,43731) = 1911569472 / 1
LCM(43712,43731) = 1911569472

Least Common Multiple (LCM) of 43712 and 43731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43712 and 43731. First we will calculate the prime factors of 43712 and 43731.

Prime Factorization of 43712

Prime Factorization of 43731

Now multiplying the highest exponent prime factors to calculate the LCM of 43712 and 43731.

LCM(43712,43731) = 2⁶ × 683¹ × 3² × 43¹ × 113¹
LCM(43712,43731) = 1911569472