What is the Least Common Multiple of 41714 and 41734?

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 41714 and 41734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41714 and 41734, than apply into the LCM equation.

GCF(41714,41734) = 2
LCM(41714,41734) = ( 41714 × 41734) / 2
LCM(41714,41734) = 1740892076 / 2
LCM(41714,41734) = 870446038

Least Common Multiple (LCM) of 41714 and 41734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41714 and 41734. First we will calculate the prime factors of 41714 and 41734.

Prime Factorization of 41714

Prime Factorization of 41734

Now multiplying the highest exponent prime factors to calculate the LCM of 41714 and 41734.

LCM(41714,41734) = 2¹ × 20857¹ × 7¹ × 11¹ × 271¹
LCM(41714,41734) = 870446038