What is the Least Common Multiple of 94835 and 94843?

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 94835 and 94843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94835 and 94843, than apply into the LCM equation.

GCF(94835,94843) = 1
LCM(94835,94843) = ( 94835 × 94843) / 1
LCM(94835,94843) = 8994435905 / 1
LCM(94835,94843) = 8994435905

Least Common Multiple (LCM) of 94835 and 94843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94835 and 94843. First we will calculate the prime factors of 94835 and 94843.

Prime Factorization of 94835

Prime Factorization of 94843

Now multiplying the highest exponent prime factors to calculate the LCM of 94835 and 94843.

LCM(94835,94843) = 5¹ × 13¹ × 1459¹ × 7¹ × 17¹ × 797¹
LCM(94835,94843) = 8994435905