What is the Least Common Multiple of 51669 and 51682?

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 51669 and 51682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51669 and 51682, than apply into the LCM equation.

GCF(51669,51682) = 1
LCM(51669,51682) = ( 51669 × 51682) / 1
LCM(51669,51682) = 2670357258 / 1
LCM(51669,51682) = 2670357258

Least Common Multiple (LCM) of 51669 and 51682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51669 and 51682. First we will calculate the prime factors of 51669 and 51682.

Prime Factorization of 51669

Prime Factorization of 51682

Now multiplying the highest exponent prime factors to calculate the LCM of 51669 and 51682.

LCM(51669,51682) = 3² × 5741¹ × 2¹ × 25841¹
LCM(51669,51682) = 2670357258