What is the Least Common Multiple of 75746 and 75758?

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 75746 and 75758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75746 and 75758, than apply into the LCM equation.

GCF(75746,75758) = 2
LCM(75746,75758) = ( 75746 × 75758) / 2
LCM(75746,75758) = 5738365468 / 2
LCM(75746,75758) = 2869182734

Least Common Multiple (LCM) of 75746 and 75758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75746 and 75758. First we will calculate the prime factors of 75746 and 75758.

Prime Factorization of 75746

Prime Factorization of 75758

Now multiplying the highest exponent prime factors to calculate the LCM of 75746 and 75758.

LCM(75746,75758) = 2¹ × 11² × 313¹ × 37879¹
LCM(75746,75758) = 2869182734