What is the Least Common Multiple of 95824 and 95839?

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 95824 and 95839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95824 and 95839, than apply into the LCM equation.

GCF(95824,95839) = 1
LCM(95824,95839) = ( 95824 × 95839) / 1
LCM(95824,95839) = 9183676336 / 1
LCM(95824,95839) = 9183676336

Least Common Multiple (LCM) of 95824 and 95839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95824 and 95839. First we will calculate the prime factors of 95824 and 95839.

Prime Factorization of 95824

Prime Factorization of 95839

Now multiplying the highest exponent prime factors to calculate the LCM of 95824 and 95839.

LCM(95824,95839) = 2⁴ × 53¹ × 113¹ × 239¹ × 401¹
LCM(95824,95839) = 9183676336