What is the Least Common Multiple of 89723 and 89731?

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 89723 and 89731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89723 and 89731, than apply into the LCM equation.

GCF(89723,89731) = 1
LCM(89723,89731) = ( 89723 × 89731) / 1
LCM(89723,89731) = 8050934513 / 1
LCM(89723,89731) = 8050934513

Least Common Multiple (LCM) of 89723 and 89731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89723 and 89731. First we will calculate the prime factors of 89723 and 89731.

Prime Factorization of 89723

Prime Factorization of 89731

Now multiplying the highest exponent prime factors to calculate the LCM of 89723 and 89731.

LCM(89723,89731) = 23¹ × 47¹ × 83¹ × 61¹ × 1471¹
LCM(89723,89731) = 8050934513