What is the Least Common Multiple of 92771 and 92789?

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 92771 and 92789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92771 and 92789, than apply into the LCM equation.

GCF(92771,92789) = 1
LCM(92771,92789) = ( 92771 × 92789) / 1
LCM(92771,92789) = 8608128319 / 1
LCM(92771,92789) = 8608128319

Least Common Multiple (LCM) of 92771 and 92789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92771 and 92789. First we will calculate the prime factors of 92771 and 92789.

Prime Factorization of 92771

Prime Factorization of 92789

Now multiplying the highest exponent prime factors to calculate the LCM of 92771 and 92789.

LCM(92771,92789) = 7¹ × 29¹ × 457¹ × 92789¹
LCM(92771,92789) = 8608128319