What is the Least Common Multiple of 92815 and 92825?

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 92815 and 92825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92815 and 92825, than apply into the LCM equation.

GCF(92815,92825) = 5
LCM(92815,92825) = ( 92815 × 92825) / 5
LCM(92815,92825) = 8615552375 / 5
LCM(92815,92825) = 1723110475

Least Common Multiple (LCM) of 92815 and 92825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92815 and 92825. First we will calculate the prime factors of 92815 and 92825.

Prime Factorization of 92815

Prime Factorization of 92825

Now multiplying the highest exponent prime factors to calculate the LCM of 92815 and 92825.

LCM(92815,92825) = 5² × 19¹ × 977¹ × 47¹ × 79¹
LCM(92815,92825) = 1723110475