What is the Least Common Multiple of 86123 and 86130?

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 86123 and 86130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86123 and 86130, than apply into the LCM equation.

GCF(86123,86130) = 1
LCM(86123,86130) = ( 86123 × 86130) / 1
LCM(86123,86130) = 7417773990 / 1
LCM(86123,86130) = 7417773990

Least Common Multiple (LCM) of 86123 and 86130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86123 and 86130. First we will calculate the prime factors of 86123 and 86130.

Prime Factorization of 86123

Prime Factorization of 86130

Now multiplying the highest exponent prime factors to calculate the LCM of 86123 and 86130.

LCM(86123,86130) = 71¹ × 1213¹ × 2¹ × 3³ × 5¹ × 11¹ × 29¹
LCM(86123,86130) = 7417773990