What is the Least Common Multiple of 87705 and 87723?

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 87705 and 87723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87705 and 87723, than apply into the LCM equation.

GCF(87705,87723) = 9
LCM(87705,87723) = ( 87705 × 87723) / 9
LCM(87705,87723) = 7693745715 / 9
LCM(87705,87723) = 854860635

Least Common Multiple (LCM) of 87705 and 87723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87705 and 87723. First we will calculate the prime factors of 87705 and 87723.

Prime Factorization of 87705

Prime Factorization of 87723

Now multiplying the highest exponent prime factors to calculate the LCM of 87705 and 87723.

LCM(87705,87723) = 3⁵ × 5¹ × 1949¹ × 19²
LCM(87705,87723) = 854860635