What is the Least Common Multiple of 89712 and 89717?

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 89712 and 89717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89712 and 89717, than apply into the LCM equation.

GCF(89712,89717) = 1
LCM(89712,89717) = ( 89712 × 89717) / 1
LCM(89712,89717) = 8048691504 / 1
LCM(89712,89717) = 8048691504

Least Common Multiple (LCM) of 89712 and 89717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89712 and 89717. First we will calculate the prime factors of 89712 and 89717.

Prime Factorization of 89712

Prime Factorization of 89717

Now multiplying the highest exponent prime factors to calculate the LCM of 89712 and 89717.

LCM(89712,89717) = 2⁴ × 3² × 7¹ × 89¹ × 73¹ × 1229¹
LCM(89712,89717) = 8048691504