What is the Least Common Multiple of 92909 and 92928?

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 92909 and 92928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92909 and 92928, than apply into the LCM equation.

GCF(92909,92928) = 1
LCM(92909,92928) = ( 92909 × 92928) / 1
LCM(92909,92928) = 8633847552 / 1
LCM(92909,92928) = 8633847552

Least Common Multiple (LCM) of 92909 and 92928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92909 and 92928. First we will calculate the prime factors of 92909 and 92928.

Prime Factorization of 92909

Prime Factorization of 92928

Now multiplying the highest exponent prime factors to calculate the LCM of 92909 and 92928.

LCM(92909,92928) = 53¹ × 1753¹ × 2⁸ × 3¹ × 11²
LCM(92909,92928) = 8633847552