What is the Least Common Multiple of 92301 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 92301 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 92301 and 92305, than apply into the LCM equation.

GCF(92301,92305) = 1
LCM(92301,92305) = ( 92301 × 92305) / 1
LCM(92301,92305) = 8519843805 / 1
LCM(92301,92305) = 8519843805

Least Common Multiple (LCM) of 92301 and 92305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92301 and 92305. First we will calculate the prime factors of 92301 and 92305.

Prime Factorization of 92301

Prime Factorization of 92305

Now multiplying the highest exponent prime factors to calculate the LCM of 92301 and 92305.

LCM(92301,92305) = 3¹ × 11¹ × 2797¹ × 5¹ × 18461¹
LCM(92301,92305) = 8519843805