What is the Least Common Multiple of 82964 and 82971?

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 82971 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 82971, than apply into the LCM equation.

GCF(82964,82971) = 7
LCM(82964,82971) = ( 82964 × 82971) / 7
LCM(82964,82971) = 6883606044 / 7
LCM(82964,82971) = 983372292

Least Common Multiple (LCM) of 82964 and 82971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82964 and 82971. First we will calculate the prime factors of 82964 and 82971.

Prime Factorization of 82964

Prime Factorization of 82971

Now multiplying the highest exponent prime factors to calculate the LCM of 82964 and 82971.

LCM(82964,82971) = 2² × 7¹ × 2963¹ × 3³ × 439¹
LCM(82964,82971) = 983372292