What is the Least Common Multiple of 82964 and 82975?

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 82964 and 82975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82964 and 82975, than apply into the LCM equation.

GCF(82964,82975) = 1
LCM(82964,82975) = ( 82964 × 82975) / 1
LCM(82964,82975) = 6883937900 / 1
LCM(82964,82975) = 6883937900

Least Common Multiple (LCM) of 82964 and 82975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82964 and 82975. First we will calculate the prime factors of 82964 and 82975.

Prime Factorization of 82964

Prime Factorization of 82975

Now multiplying the highest exponent prime factors to calculate the LCM of 82964 and 82975.

LCM(82964,82975) = 2² × 7¹ × 2963¹ × 5² × 3319¹
LCM(82964,82975) = 6883937900