What is the Least Common Multiple of 38496 and 38510?

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 38496 and 38510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38496 and 38510, than apply into the LCM equation.

GCF(38496,38510) = 2
LCM(38496,38510) = ( 38496 × 38510) / 2
LCM(38496,38510) = 1482480960 / 2
LCM(38496,38510) = 741240480

Least Common Multiple (LCM) of 38496 and 38510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38496 and 38510. First we will calculate the prime factors of 38496 and 38510.

Prime Factorization of 38496

Prime Factorization of 38510

Now multiplying the highest exponent prime factors to calculate the LCM of 38496 and 38510.

LCM(38496,38510) = 2⁵ × 3¹ × 401¹ × 5¹ × 3851¹
LCM(38496,38510) = 741240480