What is the Least Common Multiple of 86496 and 86510?

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 86496 and 86510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86496 and 86510, than apply into the LCM equation.

GCF(86496,86510) = 2
LCM(86496,86510) = ( 86496 × 86510) / 2
LCM(86496,86510) = 7482768960 / 2
LCM(86496,86510) = 3741384480

Least Common Multiple (LCM) of 86496 and 86510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86496 and 86510. First we will calculate the prime factors of 86496 and 86510.

Prime Factorization of 86496

Prime Factorization of 86510

Now multiplying the highest exponent prime factors to calculate the LCM of 86496 and 86510.

LCM(86496,86510) = 2⁵ × 3¹ × 17¹ × 53¹ × 5¹ × 41¹ × 211¹
LCM(86496,86510) = 3741384480