What is the Least Common Multiple of 86710 and 86723?

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 86710 and 86723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86710 and 86723, than apply into the LCM equation.

GCF(86710,86723) = 13
LCM(86710,86723) = ( 86710 × 86723) / 13
LCM(86710,86723) = 7519751330 / 13
LCM(86710,86723) = 578442410

Least Common Multiple (LCM) of 86710 and 86723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86710 and 86723. First we will calculate the prime factors of 86710 and 86723.

Prime Factorization of 86710

Prime Factorization of 86723

Now multiplying the highest exponent prime factors to calculate the LCM of 86710 and 86723.

LCM(86710,86723) = 2¹ × 5¹ × 13¹ × 23¹ × 29¹ × 7¹ × 953¹
LCM(86710,86723) = 578442410