What is the Least Common Multiple of 28838 and 28849?

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 28838 and 28849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28838 and 28849, than apply into the LCM equation.

GCF(28838,28849) = 1
LCM(28838,28849) = ( 28838 × 28849) / 1
LCM(28838,28849) = 831947462 / 1
LCM(28838,28849) = 831947462

Least Common Multiple (LCM) of 28838 and 28849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28838 and 28849. First we will calculate the prime factors of 28838 and 28849.

Prime Factorization of 28838

Prime Factorization of 28849

Now multiplying the highest exponent prime factors to calculate the LCM of 28838 and 28849.

LCM(28838,28849) = 2¹ × 14419¹ × 17¹ × 1697¹
LCM(28838,28849) = 831947462