What is the Least Common Multiple of 86480 and 86498?

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 86480 and 86498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86480 and 86498, than apply into the LCM equation.

GCF(86480,86498) = 2
LCM(86480,86498) = ( 86480 × 86498) / 2
LCM(86480,86498) = 7480347040 / 2
LCM(86480,86498) = 3740173520

Least Common Multiple (LCM) of 86480 and 86498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86480 and 86498. First we will calculate the prime factors of 86480 and 86498.

Prime Factorization of 86480

Prime Factorization of 86498

Now multiplying the highest exponent prime factors to calculate the LCM of 86480 and 86498.

LCM(86480,86498) = 2⁴ × 5¹ × 23¹ × 47¹ × 61¹ × 709¹
LCM(86480,86498) = 3740173520