What is the Least Common Multiple of 86160 and 86178?

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 86160 and 86178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86160 and 86178, than apply into the LCM equation.

GCF(86160,86178) = 6
LCM(86160,86178) = ( 86160 × 86178) / 6
LCM(86160,86178) = 7425096480 / 6
LCM(86160,86178) = 1237516080

Least Common Multiple (LCM) of 86160 and 86178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86160 and 86178. First we will calculate the prime factors of 86160 and 86178.

Prime Factorization of 86160

Prime Factorization of 86178

Now multiplying the highest exponent prime factors to calculate the LCM of 86160 and 86178.

LCM(86160,86178) = 2⁴ × 3¹ × 5¹ × 359¹ × 53¹ × 271¹
LCM(86160,86178) = 1237516080