What is the Least Common Multiple of 86838 and 86853?

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 86838 and 86853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86838 and 86853, than apply into the LCM equation.

GCF(86838,86853) = 3
LCM(86838,86853) = ( 86838 × 86853) / 3
LCM(86838,86853) = 7542140814 / 3
LCM(86838,86853) = 2514046938

Least Common Multiple (LCM) of 86838 and 86853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86838 and 86853. First we will calculate the prime factors of 86838 and 86853.

Prime Factorization of 86838

Prime Factorization of 86853

Now multiplying the highest exponent prime factors to calculate the LCM of 86838 and 86853.

LCM(86838,86853) = 2¹ × 3¹ × 41¹ × 353¹ × 13¹ × 17¹ × 131¹
LCM(86838,86853) = 2514046938