What is the Least Common Multiple of 38269 and 38276?

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 38269 and 38276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38269 and 38276, than apply into the LCM equation.

GCF(38269,38276) = 7
LCM(38269,38276) = ( 38269 × 38276) / 7
LCM(38269,38276) = 1464784244 / 7
LCM(38269,38276) = 209254892

Least Common Multiple (LCM) of 38269 and 38276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38269 and 38276. First we will calculate the prime factors of 38269 and 38276.

Prime Factorization of 38269

Prime Factorization of 38276

Now multiplying the highest exponent prime factors to calculate the LCM of 38269 and 38276.

LCM(38269,38276) = 7² × 11¹ × 71¹ × 2² × 1367¹
LCM(38269,38276) = 209254892