What is the Least Common Multiple of 86145 and 86160?

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 86145 and 86160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86145 and 86160, than apply into the LCM equation.

GCF(86145,86160) = 15
LCM(86145,86160) = ( 86145 × 86160) / 15
LCM(86145,86160) = 7422253200 / 15
LCM(86145,86160) = 494816880

Least Common Multiple (LCM) of 86145 and 86160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86145 and 86160. First we will calculate the prime factors of 86145 and 86160.

Prime Factorization of 86145

Prime Factorization of 86160

Now multiplying the highest exponent prime factors to calculate the LCM of 86145 and 86160.

LCM(86145,86160) = 3¹ × 5¹ × 5743¹ × 2⁴ × 359¹
LCM(86145,86160) = 494816880