What is the Least Common Multiple of 86066 and 86075?

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 86066 and 86075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86066 and 86075, than apply into the LCM equation.

GCF(86066,86075) = 1
LCM(86066,86075) = ( 86066 × 86075) / 1
LCM(86066,86075) = 7408130950 / 1
LCM(86066,86075) = 7408130950

Least Common Multiple (LCM) of 86066 and 86075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86066 and 86075. First we will calculate the prime factors of 86066 and 86075.

Prime Factorization of 86066

Prime Factorization of 86075

Now multiplying the highest exponent prime factors to calculate the LCM of 86066 and 86075.

LCM(86066,86075) = 2¹ × 23¹ × 1871¹ × 5² × 11¹ × 313¹
LCM(86066,86075) = 7408130950