What is the Least Common Multiple of 76923 and 76934?

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 76923 and 76934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76923 and 76934, than apply into the LCM equation.

GCF(76923,76934) = 11
LCM(76923,76934) = ( 76923 × 76934) / 11
LCM(76923,76934) = 5917994082 / 11
LCM(76923,76934) = 537999462

Least Common Multiple (LCM) of 76923 and 76934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76923 and 76934. First we will calculate the prime factors of 76923 and 76934.

Prime Factorization of 76923

Prime Factorization of 76934

Now multiplying the highest exponent prime factors to calculate the LCM of 76923 and 76934.

LCM(76923,76934) = 3³ × 7¹ × 11¹ × 37¹ × 2¹ × 13¹ × 269¹
LCM(76923,76934) = 537999462