What is the Least Common Multiple of 95835 and 95847?

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 95835 and 95847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95835 and 95847, than apply into the LCM equation.

GCF(95835,95847) = 3
LCM(95835,95847) = ( 95835 × 95847) / 3
LCM(95835,95847) = 9185497245 / 3
LCM(95835,95847) = 3061832415

Least Common Multiple (LCM) of 95835 and 95847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95835 and 95847. First we will calculate the prime factors of 95835 and 95847.

Prime Factorization of 95835

Prime Factorization of 95847

Now multiplying the highest exponent prime factors to calculate the LCM of 95835 and 95847.

LCM(95835,95847) = 3¹ × 5¹ × 6389¹ × 43¹ × 743¹
LCM(95835,95847) = 3061832415