What is the Least Common Multiple of 75734 and 75749?

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 75734 and 75749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75734 and 75749, than apply into the LCM equation.

GCF(75734,75749) = 1
LCM(75734,75749) = ( 75734 × 75749) / 1
LCM(75734,75749) = 5736774766 / 1
LCM(75734,75749) = 5736774766

Least Common Multiple (LCM) of 75734 and 75749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75734 and 75749. First we will calculate the prime factors of 75734 and 75749.

Prime Factorization of 75734

Prime Factorization of 75749

Now multiplying the highest exponent prime factors to calculate the LCM of 75734 and 75749.

LCM(75734,75749) = 2¹ × 19¹ × 1993¹ × 211¹ × 359¹
LCM(75734,75749) = 5736774766