What is the Least Common Multiple of 92289 and 92305?

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 92289 and 92305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92289 and 92305, than apply into the LCM equation.

GCF(92289,92305) = 1
LCM(92289,92305) = ( 92289 × 92305) / 1
LCM(92289,92305) = 8518736145 / 1
LCM(92289,92305) = 8518736145

Least Common Multiple (LCM) of 92289 and 92305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92289 and 92305. First we will calculate the prime factors of 92289 and 92305.

Prime Factorization of 92289

Prime Factorization of 92305

Now multiplying the highest exponent prime factors to calculate the LCM of 92289 and 92305.

LCM(92289,92305) = 3¹ × 30763¹ × 5¹ × 18461¹
LCM(92289,92305) = 8518736145