What is the Least Common Multiple of 38233 and 38251?

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 38233 and 38251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38233 and 38251, than apply into the LCM equation.

GCF(38233,38251) = 1
LCM(38233,38251) = ( 38233 × 38251) / 1
LCM(38233,38251) = 1462450483 / 1
LCM(38233,38251) = 1462450483

Least Common Multiple (LCM) of 38233 and 38251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38233 and 38251. First we will calculate the prime factors of 38233 and 38251.

Prime Factorization of 38233

Prime Factorization of 38251

Now multiplying the highest exponent prime factors to calculate the LCM of 38233 and 38251.

LCM(38233,38251) = 13¹ × 17¹ × 173¹ × 29¹ × 1319¹
LCM(38233,38251) = 1462450483