What is the Least Common Multiple of 89749 and 89768?

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 89749 and 89768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89749 and 89768, than apply into the LCM equation.

GCF(89749,89768) = 1
LCM(89749,89768) = ( 89749 × 89768) / 1
LCM(89749,89768) = 8056588232 / 1
LCM(89749,89768) = 8056588232

Least Common Multiple (LCM) of 89749 and 89768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89749 and 89768. First we will calculate the prime factors of 89749 and 89768.

Prime Factorization of 89749

Prime Factorization of 89768

Now multiplying the highest exponent prime factors to calculate the LCM of 89749 and 89768.

LCM(89749,89768) = 11¹ × 41¹ × 199¹ × 2³ × 7² × 229¹
LCM(89749,89768) = 8056588232