What is the Least Common Multiple of 89571 and 89586?

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 89571 and 89586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89571 and 89586, than apply into the LCM equation.

GCF(89571,89586) = 3
LCM(89571,89586) = ( 89571 × 89586) / 3
LCM(89571,89586) = 8024307606 / 3
LCM(89571,89586) = 2674769202

Least Common Multiple (LCM) of 89571 and 89586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89571 and 89586. First we will calculate the prime factors of 89571 and 89586.

Prime Factorization of 89571

Prime Factorization of 89586

Now multiplying the highest exponent prime factors to calculate the LCM of 89571 and 89586.

LCM(89571,89586) = 3⁴ × 73¹ × 409¹ × 2¹ × 7¹ × 79¹
LCM(89571,89586) = 2674769202