What is the Least Common Multiple of 92905 and 92909?

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 92905 and 92909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92905 and 92909, than apply into the LCM equation.

GCF(92905,92909) = 1
LCM(92905,92909) = ( 92905 × 92909) / 1
LCM(92905,92909) = 8631710645 / 1
LCM(92905,92909) = 8631710645

Least Common Multiple (LCM) of 92905 and 92909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92905 and 92909. First we will calculate the prime factors of 92905 and 92909.

Prime Factorization of 92905

Prime Factorization of 92909

Now multiplying the highest exponent prime factors to calculate the LCM of 92905 and 92909.

LCM(92905,92909) = 5¹ × 17¹ × 1093¹ × 53¹ × 1753¹
LCM(92905,92909) = 8631710645