What is the Least Common Multiple of 92916 and 92929?

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 92916 and 92929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92916 and 92929, than apply into the LCM equation.

GCF(92916,92929) = 1
LCM(92916,92929) = ( 92916 × 92929) / 1
LCM(92916,92929) = 8634590964 / 1
LCM(92916,92929) = 8634590964

Least Common Multiple (LCM) of 92916 and 92929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92916 and 92929. First we will calculate the prime factors of 92916 and 92929.

Prime Factorization of 92916

Prime Factorization of 92929

Now multiplying the highest exponent prime factors to calculate the LCM of 92916 and 92929.

LCM(92916,92929) = 2² × 3² × 29¹ × 89¹ × 19¹ × 67¹ × 73¹
LCM(92916,92929) = 8634590964