What is the Least Common Multiple of 86160 and 86169?

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 86169 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 86169, than apply into the LCM equation.

GCF(86160,86169) = 3
LCM(86160,86169) = ( 86160 × 86169) / 3
LCM(86160,86169) = 7424321040 / 3
LCM(86160,86169) = 2474773680

Least Common Multiple (LCM) of 86160 and 86169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86160 and 86169. First we will calculate the prime factors of 86160 and 86169.

Prime Factorization of 86160

Prime Factorization of 86169

Now multiplying the highest exponent prime factors to calculate the LCM of 86160 and 86169.

LCM(86160,86169) = 2⁴ × 3¹ × 5¹ × 359¹ × 28723¹
LCM(86160,86169) = 2474773680