What is the Least Common Multiple of 38454 and 38460?

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 38454 and 38460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38454 and 38460, than apply into the LCM equation.

GCF(38454,38460) = 6
LCM(38454,38460) = ( 38454 × 38460) / 6
LCM(38454,38460) = 1478940840 / 6
LCM(38454,38460) = 246490140

Least Common Multiple (LCM) of 38454 and 38460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38454 and 38460. First we will calculate the prime factors of 38454 and 38460.

Prime Factorization of 38454

Prime Factorization of 38460

Now multiplying the highest exponent prime factors to calculate the LCM of 38454 and 38460.

LCM(38454,38460) = 2² × 3¹ × 13¹ × 17¹ × 29¹ × 5¹ × 641¹
LCM(38454,38460) = 246490140