What is the Least Common Multiple of 94923 and 94929?

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 94923 and 94929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94923 and 94929, than apply into the LCM equation.

GCF(94923,94929) = 3
LCM(94923,94929) = ( 94923 × 94929) / 3
LCM(94923,94929) = 9010945467 / 3
LCM(94923,94929) = 3003648489

Least Common Multiple (LCM) of 94923 and 94929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94923 and 94929. First we will calculate the prime factors of 94923 and 94929.

Prime Factorization of 94923

Prime Factorization of 94929

Now multiplying the highest exponent prime factors to calculate the LCM of 94923 and 94929.

LCM(94923,94929) = 3² × 53¹ × 199¹ × 31643¹
LCM(94923,94929) = 3003648489