What is the Least Common Multiple of 92895 and 92906?

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 92895 and 92906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92895 and 92906, than apply into the LCM equation.

GCF(92895,92906) = 11
LCM(92895,92906) = ( 92895 × 92906) / 11
LCM(92895,92906) = 8630502870 / 11
LCM(92895,92906) = 784591170

Least Common Multiple (LCM) of 92895 and 92906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92895 and 92906. First we will calculate the prime factors of 92895 and 92906.

Prime Factorization of 92895

Prime Factorization of 92906

Now multiplying the highest exponent prime factors to calculate the LCM of 92895 and 92906.

LCM(92895,92906) = 3¹ × 5¹ × 11¹ × 563¹ × 2¹ × 41¹ × 103¹
LCM(92895,92906) = 784591170