What is the Least Common Multiple of 86130 and 86144?

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 86130 and 86144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86130 and 86144, than apply into the LCM equation.

GCF(86130,86144) = 2
LCM(86130,86144) = ( 86130 × 86144) / 2
LCM(86130,86144) = 7419582720 / 2
LCM(86130,86144) = 3709791360

Least Common Multiple (LCM) of 86130 and 86144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86130 and 86144. First we will calculate the prime factors of 86130 and 86144.

Prime Factorization of 86130

Prime Factorization of 86144

Now multiplying the highest exponent prime factors to calculate the LCM of 86130 and 86144.

LCM(86130,86144) = 2⁷ × 3³ × 5¹ × 11¹ × 29¹ × 673¹
LCM(86130,86144) = 3709791360