What is the Least Common Multiple of 28838 and 28853?

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 28853 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 28853, than apply into the LCM equation.

GCF(28838,28853) = 1
LCM(28838,28853) = ( 28838 × 28853) / 1
LCM(28838,28853) = 832062814 / 1
LCM(28838,28853) = 832062814

Least Common Multiple (LCM) of 28838 and 28853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28838 and 28853. First we will calculate the prime factors of 28838 and 28853.

Prime Factorization of 28838

Prime Factorization of 28853

Now multiplying the highest exponent prime factors to calculate the LCM of 28838 and 28853.

LCM(28838,28853) = 2¹ × 14419¹ × 11¹ × 43¹ × 61¹
LCM(28838,28853) = 832062814