What is the Least Common Multiple of 41416 and 41434?

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 41416 and 41434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41416 and 41434, than apply into the LCM equation.

GCF(41416,41434) = 2
LCM(41416,41434) = ( 41416 × 41434) / 2
LCM(41416,41434) = 1716030544 / 2
LCM(41416,41434) = 858015272

Least Common Multiple (LCM) of 41416 and 41434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41416 and 41434. First we will calculate the prime factors of 41416 and 41434.

Prime Factorization of 41416

Prime Factorization of 41434

Now multiplying the highest exponent prime factors to calculate the LCM of 41416 and 41434.

LCM(41416,41434) = 2³ × 31¹ × 167¹ × 20717¹
LCM(41416,41434) = 858015272