What is the Least Common Multiple of 92819 and 92837?

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 92819 and 92837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92819 and 92837, than apply into the LCM equation.

GCF(92819,92837) = 1
LCM(92819,92837) = ( 92819 × 92837) / 1
LCM(92819,92837) = 8617037503 / 1
LCM(92819,92837) = 8617037503

Least Common Multiple (LCM) of 92819 and 92837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92819 and 92837. First we will calculate the prime factors of 92819 and 92837.

Prime Factorization of 92819

Prime Factorization of 92837

Now multiplying the highest exponent prime factors to calculate the LCM of 92819 and 92837.

LCM(92819,92837) = 101¹ × 919¹ × 17¹ × 43¹ × 127¹
LCM(92819,92837) = 8617037503