What is the Least Common Multiple of 86058 and 86063?

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 86058 and 86063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86058 and 86063, than apply into the LCM equation.

GCF(86058,86063) = 1
LCM(86058,86063) = ( 86058 × 86063) / 1
LCM(86058,86063) = 7406409654 / 1
LCM(86058,86063) = 7406409654

Least Common Multiple (LCM) of 86058 and 86063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86058 and 86063. First we will calculate the prime factors of 86058 and 86063.

Prime Factorization of 86058

Prime Factorization of 86063

Now multiplying the highest exponent prime factors to calculate the LCM of 86058 and 86063.

LCM(86058,86063) = 2¹ × 3² × 7¹ × 683¹ × 89¹ × 967¹
LCM(86058,86063) = 7406409654