What is the Least Common Multiple of 86380 and 86384?

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 86380 and 86384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86380 and 86384, than apply into the LCM equation.

GCF(86380,86384) = 4
LCM(86380,86384) = ( 86380 × 86384) / 4
LCM(86380,86384) = 7461849920 / 4
LCM(86380,86384) = 1865462480

Least Common Multiple (LCM) of 86380 and 86384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86380 and 86384. First we will calculate the prime factors of 86380 and 86384.

Prime Factorization of 86380

Prime Factorization of 86384

Now multiplying the highest exponent prime factors to calculate the LCM of 86380 and 86384.

LCM(86380,86384) = 2⁴ × 5¹ × 7¹ × 617¹ × 5399¹
LCM(86380,86384) = 1865462480