What is the Least Common Multiple of 86945 and 86950?

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 86945 and 86950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86945 and 86950, than apply into the LCM equation.

GCF(86945,86950) = 5
LCM(86945,86950) = ( 86945 × 86950) / 5
LCM(86945,86950) = 7559867750 / 5
LCM(86945,86950) = 1511973550

Least Common Multiple (LCM) of 86945 and 86950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86945 and 86950. First we will calculate the prime factors of 86945 and 86950.

Prime Factorization of 86945

Prime Factorization of 86950

Now multiplying the highest exponent prime factors to calculate the LCM of 86945 and 86950.

LCM(86945,86950) = 5² × 17389¹ × 2¹ × 37¹ × 47¹
LCM(86945,86950) = 1511973550