What is the Least Common Multiple of 75974 and 75994?

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 75974 and 75994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75974 and 75994, than apply into the LCM equation.

GCF(75974,75994) = 2
LCM(75974,75994) = ( 75974 × 75994) / 2
LCM(75974,75994) = 5773568156 / 2
LCM(75974,75994) = 2886784078

Least Common Multiple (LCM) of 75974 and 75994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75974 and 75994. First we will calculate the prime factors of 75974 and 75994.

Prime Factorization of 75974

Prime Factorization of 75994

Now multiplying the highest exponent prime factors to calculate the LCM of 75974 and 75994.

LCM(75974,75994) = 2¹ × 37987¹ × 37997¹
LCM(75974,75994) = 2886784078