What is the Least Common Multiple of 96829 and 96841?

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 96829 and 96841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96829 and 96841, than apply into the LCM equation.

GCF(96829,96841) = 1
LCM(96829,96841) = ( 96829 × 96841) / 1
LCM(96829,96841) = 9377017189 / 1
LCM(96829,96841) = 9377017189

Least Common Multiple (LCM) of 96829 and 96841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96829 and 96841. First we will calculate the prime factors of 96829 and 96841.

Prime Factorization of 96829

Prime Factorization of 96841

Now multiplying the highest exponent prime factors to calculate the LCM of 96829 and 96841.

LCM(96829,96841) = 37¹ × 2617¹ × 113¹ × 857¹
LCM(96829,96841) = 9377017189