What is the Least Common Multiple of 43696 and 43705?

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 43696 and 43705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43696 and 43705, than apply into the LCM equation.

GCF(43696,43705) = 1
LCM(43696,43705) = ( 43696 × 43705) / 1
LCM(43696,43705) = 1909733680 / 1
LCM(43696,43705) = 1909733680

Least Common Multiple (LCM) of 43696 and 43705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43696 and 43705. First we will calculate the prime factors of 43696 and 43705.

Prime Factorization of 43696

Prime Factorization of 43705

Now multiplying the highest exponent prime factors to calculate the LCM of 43696 and 43705.

LCM(43696,43705) = 2⁴ × 2731¹ × 5¹ × 8741¹
LCM(43696,43705) = 1909733680