What is the Least Common Multiple of 95829 and 95843?

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 95843 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 95843, than apply into the LCM equation.

GCF(95829,95843) = 1
LCM(95829,95843) = ( 95829 × 95843) / 1
LCM(95829,95843) = 9184538847 / 1
LCM(95829,95843) = 9184538847

Least Common Multiple (LCM) of 95829 and 95843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95829 and 95843. First we will calculate the prime factors of 95829 and 95843.

Prime Factorization of 95829

Prime Factorization of 95843

Now multiplying the highest exponent prime factors to calculate the LCM of 95829 and 95843.

LCM(95829,95843) = 3¹ × 17¹ × 1879¹ × 11¹ × 8713¹
LCM(95829,95843) = 9184538847