What is the Least Common Multiple of 75715 and 75734?

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 75715 and 75734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75715 and 75734, than apply into the LCM equation.

GCF(75715,75734) = 19
LCM(75715,75734) = ( 75715 × 75734) / 19
LCM(75715,75734) = 5734199810 / 19
LCM(75715,75734) = 301799990

Least Common Multiple (LCM) of 75715 and 75734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75715 and 75734. First we will calculate the prime factors of 75715 and 75734.

Prime Factorization of 75715

Prime Factorization of 75734

Now multiplying the highest exponent prime factors to calculate the LCM of 75715 and 75734.

LCM(75715,75734) = 5¹ × 19¹ × 797¹ × 2¹ × 1993¹
LCM(75715,75734) = 301799990