What is the Least Common Multiple of 76849 and 76863?

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 76849 and 76863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76849 and 76863, than apply into the LCM equation.

GCF(76849,76863) = 1
LCM(76849,76863) = ( 76849 × 76863) / 1
LCM(76849,76863) = 5906844687 / 1
LCM(76849,76863) = 5906844687

Least Common Multiple (LCM) of 76849 and 76863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76849 and 76863. First we will calculate the prime factors of 76849 and 76863.

Prime Factorization of 76849

Prime Factorization of 76863

Now multiplying the highest exponent prime factors to calculate the LCM of 76849 and 76863.

LCM(76849,76863) = 31¹ × 37¹ × 67¹ × 3¹ × 25621¹
LCM(76849,76863) = 5906844687