What is the Least Common Multiple of 41674 and 41681?

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 41674 and 41681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41674 and 41681, than apply into the LCM equation.

GCF(41674,41681) = 1
LCM(41674,41681) = ( 41674 × 41681) / 1
LCM(41674,41681) = 1737013994 / 1
LCM(41674,41681) = 1737013994

Least Common Multiple (LCM) of 41674 and 41681 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41674 and 41681. First we will calculate the prime factors of 41674 and 41681.

Prime Factorization of 41674

Prime Factorization of 41681

Now multiplying the highest exponent prime factors to calculate the LCM of 41674 and 41681.

LCM(41674,41681) = 2¹ × 67¹ × 311¹ × 41681¹
LCM(41674,41681) = 1737013994