What is the Least Common Multiple of 65723 and 65731?

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 65723 and 65731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65723 and 65731, than apply into the LCM equation.

GCF(65723,65731) = 1
LCM(65723,65731) = ( 65723 × 65731) / 1
LCM(65723,65731) = 4320038513 / 1
LCM(65723,65731) = 4320038513

Least Common Multiple (LCM) of 65723 and 65731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65723 and 65731. First we will calculate the prime factors of 65723 and 65731.

Prime Factorization of 65723

Prime Factorization of 65731

Now multiplying the highest exponent prime factors to calculate the LCM of 65723 and 65731.

LCM(65723,65731) = 7¹ × 41¹ × 229¹ × 65731¹
LCM(65723,65731) = 4320038513