What is the Least Common Multiple of 92840 and 92849?

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 92840 and 92849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92840 and 92849, than apply into the LCM equation.

GCF(92840,92849) = 1
LCM(92840,92849) = ( 92840 × 92849) / 1
LCM(92840,92849) = 8620101160 / 1
LCM(92840,92849) = 8620101160

Least Common Multiple (LCM) of 92840 and 92849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92840 and 92849. First we will calculate the prime factors of 92840 and 92849.

Prime Factorization of 92840

Prime Factorization of 92849

Now multiplying the highest exponent prime factors to calculate the LCM of 92840 and 92849.

LCM(92840,92849) = 2³ × 5¹ × 11¹ × 211¹ × 92849¹
LCM(92840,92849) = 8620101160