What is the Least Common Multiple of 43114 and 43132?

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 43114 and 43132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43114 and 43132, than apply into the LCM equation.

GCF(43114,43132) = 2
LCM(43114,43132) = ( 43114 × 43132) / 2
LCM(43114,43132) = 1859593048 / 2
LCM(43114,43132) = 929796524

Least Common Multiple (LCM) of 43114 and 43132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43114 and 43132. First we will calculate the prime factors of 43114 and 43132.

Prime Factorization of 43114

Prime Factorization of 43132

Now multiplying the highest exponent prime factors to calculate the LCM of 43114 and 43132.

LCM(43114,43132) = 2² × 21557¹ × 41¹ × 263¹
LCM(43114,43132) = 929796524