What is the Least Common Multiple of 38504 and 38522?

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 38504 and 38522 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38504 and 38522, than apply into the LCM equation.

GCF(38504,38522) = 2
LCM(38504,38522) = ( 38504 × 38522) / 2
LCM(38504,38522) = 1483251088 / 2
LCM(38504,38522) = 741625544

Least Common Multiple (LCM) of 38504 and 38522 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38504 and 38522. First we will calculate the prime factors of 38504 and 38522.

Prime Factorization of 38504

Prime Factorization of 38522

Now multiplying the highest exponent prime factors to calculate the LCM of 38504 and 38522.

LCM(38504,38522) = 2³ × 4813¹ × 11¹ × 17¹ × 103¹
LCM(38504,38522) = 741625544