What is the Least Common Multiple of 41697 and 41711?

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 41697 and 41711 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41697 and 41711, than apply into the LCM equation.

GCF(41697,41711) = 1
LCM(41697,41711) = ( 41697 × 41711) / 1
LCM(41697,41711) = 1739223567 / 1
LCM(41697,41711) = 1739223567

Least Common Multiple (LCM) of 41697 and 41711 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41697 and 41711. First we will calculate the prime factors of 41697 and 41711.

Prime Factorization of 41697

Prime Factorization of 41711

Now multiplying the highest exponent prime factors to calculate the LCM of 41697 and 41711.

LCM(41697,41711) = 3² × 41¹ × 113¹ × 53¹ × 787¹
LCM(41697,41711) = 1739223567