What is the Least Common Multiple of 76479 and 76491?

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 76479 and 76491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76479 and 76491, than apply into the LCM equation.

GCF(76479,76491) = 3
LCM(76479,76491) = ( 76479 × 76491) / 3
LCM(76479,76491) = 5849955189 / 3
LCM(76479,76491) = 1949985063

Least Common Multiple (LCM) of 76479 and 76491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76479 and 76491. First we will calculate the prime factors of 76479 and 76491.

Prime Factorization of 76479

Prime Factorization of 76491

Now multiplying the highest exponent prime factors to calculate the LCM of 76479 and 76491.

LCM(76479,76491) = 3³ × 13¹ × 37¹ × 53¹ × 2833¹
LCM(76479,76491) = 1949985063