What is the Least Common Multiple of 88706 and 88723?

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 88706 and 88723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88706 and 88723, than apply into the LCM equation.

GCF(88706,88723) = 17
LCM(88706,88723) = ( 88706 × 88723) / 17
LCM(88706,88723) = 7870262438 / 17
LCM(88706,88723) = 462956614

Least Common Multiple (LCM) of 88706 and 88723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88706 and 88723. First we will calculate the prime factors of 88706 and 88723.

Prime Factorization of 88706

Prime Factorization of 88723

Now multiplying the highest exponent prime factors to calculate the LCM of 88706 and 88723.

LCM(88706,88723) = 2¹ × 17² × 2609¹ × 307¹
LCM(88706,88723) = 462956614