What is the Least Common Multiple of 86020 and 86030?

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 86020 and 86030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86020 and 86030, than apply into the LCM equation.

GCF(86020,86030) = 10
LCM(86020,86030) = ( 86020 × 86030) / 10
LCM(86020,86030) = 7400300600 / 10
LCM(86020,86030) = 740030060

Least Common Multiple (LCM) of 86020 and 86030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86020 and 86030. First we will calculate the prime factors of 86020 and 86030.

Prime Factorization of 86020

Prime Factorization of 86030

Now multiplying the highest exponent prime factors to calculate the LCM of 86020 and 86030.

LCM(86020,86030) = 2² × 5¹ × 11¹ × 17¹ × 23¹ × 7¹ × 1229¹
LCM(86020,86030) = 740030060