What is the Least Common Multiple of 43743 and 43759?

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 43743 and 43759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43743 and 43759, than apply into the LCM equation.

GCF(43743,43759) = 1
LCM(43743,43759) = ( 43743 × 43759) / 1
LCM(43743,43759) = 1914149937 / 1
LCM(43743,43759) = 1914149937

Least Common Multiple (LCM) of 43743 and 43759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43743 and 43759. First we will calculate the prime factors of 43743 and 43759.

Prime Factorization of 43743

Prime Factorization of 43759

Now multiplying the highest exponent prime factors to calculate the LCM of 43743 and 43759.

LCM(43743,43759) = 3¹ × 7¹ × 2083¹ × 43759¹
LCM(43743,43759) = 1914149937