What is the Least Common Multiple of 75986 and 75998?

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 75986 and 75998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75986 and 75998, than apply into the LCM equation.

GCF(75986,75998) = 2
LCM(75986,75998) = ( 75986 × 75998) / 2
LCM(75986,75998) = 5774784028 / 2
LCM(75986,75998) = 2887392014

Least Common Multiple (LCM) of 75986 and 75998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75986 and 75998. First we will calculate the prime factors of 75986 and 75998.

Prime Factorization of 75986

Prime Factorization of 75998

Now multiplying the highest exponent prime factors to calculate the LCM of 75986 and 75998.

LCM(75986,75998) = 2¹ × 37993¹ × 13¹ × 37¹ × 79¹
LCM(75986,75998) = 2887392014