What is the Least Common Multiple of 82929 and 82936?

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 82929 and 82936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82929 and 82936, than apply into the LCM equation.

GCF(82929,82936) = 7
LCM(82929,82936) = ( 82929 × 82936) / 7
LCM(82929,82936) = 6877799544 / 7
LCM(82929,82936) = 982542792

Least Common Multiple (LCM) of 82929 and 82936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82929 and 82936. First we will calculate the prime factors of 82929 and 82936.

Prime Factorization of 82929

Prime Factorization of 82936

Now multiplying the highest exponent prime factors to calculate the LCM of 82929 and 82936.

LCM(82929,82936) = 3¹ × 7¹ × 11¹ × 359¹ × 2³ × 1481¹
LCM(82929,82936) = 982542792