What is the Least Common Multiple of 86360 and 86378?

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 86360 and 86378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86360 and 86378, than apply into the LCM equation.

GCF(86360,86378) = 2
LCM(86360,86378) = ( 86360 × 86378) / 2
LCM(86360,86378) = 7459604080 / 2
LCM(86360,86378) = 3729802040

Least Common Multiple (LCM) of 86360 and 86378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86360 and 86378. First we will calculate the prime factors of 86360 and 86378.

Prime Factorization of 86360

Prime Factorization of 86378

Now multiplying the highest exponent prime factors to calculate the LCM of 86360 and 86378.

LCM(86360,86378) = 2³ × 5¹ × 17¹ × 127¹ × 43189¹
LCM(86360,86378) = 3729802040