What is the Least Common Multiple of 75668 and 75682?

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 75668 and 75682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75668 and 75682, than apply into the LCM equation.

GCF(75668,75682) = 2
LCM(75668,75682) = ( 75668 × 75682) / 2
LCM(75668,75682) = 5726705576 / 2
LCM(75668,75682) = 2863352788

Least Common Multiple (LCM) of 75668 and 75682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75668 and 75682. First we will calculate the prime factors of 75668 and 75682.

Prime Factorization of 75668

Prime Factorization of 75682

Now multiplying the highest exponent prime factors to calculate the LCM of 75668 and 75682.

LCM(75668,75682) = 2² × 18917¹ × 79¹ × 479¹
LCM(75668,75682) = 2863352788