What is the Least Common Multiple of 89375 and 89386?

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 89375 and 89386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89375 and 89386, than apply into the LCM equation.

GCF(89375,89386) = 11
LCM(89375,89386) = ( 89375 × 89386) / 11
LCM(89375,89386) = 7988873750 / 11
LCM(89375,89386) = 726261250

Least Common Multiple (LCM) of 89375 and 89386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89375 and 89386. First we will calculate the prime factors of 89375 and 89386.

Prime Factorization of 89375

Prime Factorization of 89386

Now multiplying the highest exponent prime factors to calculate the LCM of 89375 and 89386.

LCM(89375,89386) = 5⁴ × 11¹ × 13¹ × 2¹ × 17¹ × 239¹
LCM(89375,89386) = 726261250