What is the Least Common Multiple of 75668 and 75686?

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 75686 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 75686, than apply into the LCM equation.

GCF(75668,75686) = 2
LCM(75668,75686) = ( 75668 × 75686) / 2
LCM(75668,75686) = 5727008248 / 2
LCM(75668,75686) = 2863504124

Least Common Multiple (LCM) of 75668 and 75686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75668 and 75686. First we will calculate the prime factors of 75668 and 75686.

Prime Factorization of 75668

Prime Factorization of 75686

Now multiplying the highest exponent prime factors to calculate the LCM of 75668 and 75686.

LCM(75668,75686) = 2² × 18917¹ × 13¹ × 41¹ × 71¹
LCM(75668,75686) = 2863504124