What is the Least Common Multiple of 95829 and 95835?

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 95829 and 95835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95829 and 95835, than apply into the LCM equation.

GCF(95829,95835) = 3
LCM(95829,95835) = ( 95829 × 95835) / 3
LCM(95829,95835) = 9183772215 / 3
LCM(95829,95835) = 3061257405

Least Common Multiple (LCM) of 95829 and 95835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95829 and 95835. First we will calculate the prime factors of 95829 and 95835.

Prime Factorization of 95829

Prime Factorization of 95835

Now multiplying the highest exponent prime factors to calculate the LCM of 95829 and 95835.

LCM(95829,95835) = 3¹ × 17¹ × 1879¹ × 5¹ × 6389¹
LCM(95829,95835) = 3061257405