What is the Least Common Multiple of 81965 and 81971?

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 81965 and 81971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81965 and 81971, than apply into the LCM equation.

GCF(81965,81971) = 1
LCM(81965,81971) = ( 81965 × 81971) / 1
LCM(81965,81971) = 6718753015 / 1
LCM(81965,81971) = 6718753015

Least Common Multiple (LCM) of 81965 and 81971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81965 and 81971. First we will calculate the prime factors of 81965 and 81971.

Prime Factorization of 81965

Prime Factorization of 81971

Now multiplying the highest exponent prime factors to calculate the LCM of 81965 and 81971.

LCM(81965,81971) = 5¹ × 13² × 97¹ × 81971¹
LCM(81965,81971) = 6718753015