What is the Least Common Multiple of 43114 and 43128?

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 43128 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 43128, than apply into the LCM equation.

GCF(43114,43128) = 2
LCM(43114,43128) = ( 43114 × 43128) / 2
LCM(43114,43128) = 1859420592 / 2
LCM(43114,43128) = 929710296

Least Common Multiple (LCM) of 43114 and 43128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43114 and 43128. First we will calculate the prime factors of 43114 and 43128.

Prime Factorization of 43114

Prime Factorization of 43128

Now multiplying the highest exponent prime factors to calculate the LCM of 43114 and 43128.

LCM(43114,43128) = 2³ × 21557¹ × 3² × 599¹
LCM(43114,43128) = 929710296