What is the Least Common Multiple of 76838 and 76858?

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 76838 and 76858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76838 and 76858, than apply into the LCM equation.

GCF(76838,76858) = 2
LCM(76838,76858) = ( 76838 × 76858) / 2
LCM(76838,76858) = 5905615004 / 2
LCM(76838,76858) = 2952807502

Least Common Multiple (LCM) of 76838 and 76858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76838 and 76858. First we will calculate the prime factors of 76838 and 76858.

Prime Factorization of 76838

Prime Factorization of 76858

Now multiplying the highest exponent prime factors to calculate the LCM of 76838 and 76858.

LCM(76838,76858) = 2¹ × 103¹ × 373¹ × 83¹ × 463¹
LCM(76838,76858) = 2952807502