What is the Least Common Multiple of 92085 and 92100?

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 92085 and 92100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92085 and 92100, than apply into the LCM equation.

GCF(92085,92100) = 15
LCM(92085,92100) = ( 92085 × 92100) / 15
LCM(92085,92100) = 8481028500 / 15
LCM(92085,92100) = 565401900

Least Common Multiple (LCM) of 92085 and 92100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92085 and 92100. First we will calculate the prime factors of 92085 and 92100.

Prime Factorization of 92085

Prime Factorization of 92100

Now multiplying the highest exponent prime factors to calculate the LCM of 92085 and 92100.

LCM(92085,92100) = 3¹ × 5² × 7¹ × 877¹ × 2² × 307¹
LCM(92085,92100) = 565401900