What is the Least Common Multiple of 89706 and 89721?

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 89706 and 89721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89706 and 89721, than apply into the LCM equation.

GCF(89706,89721) = 3
LCM(89706,89721) = ( 89706 × 89721) / 3
LCM(89706,89721) = 8048512026 / 3
LCM(89706,89721) = 2682837342

Least Common Multiple (LCM) of 89706 and 89721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89706 and 89721. First we will calculate the prime factors of 89706 and 89721.

Prime Factorization of 89706

Prime Factorization of 89721

Now multiplying the highest exponent prime factors to calculate the LCM of 89706 and 89721.

LCM(89706,89721) = 2¹ × 3³ × 14951¹ × 3323¹
LCM(89706,89721) = 2682837342