What is the Least Common Multiple of 41678 and 41684?

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 41678 and 41684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41678 and 41684, than apply into the LCM equation.

GCF(41678,41684) = 2
LCM(41678,41684) = ( 41678 × 41684) / 2
LCM(41678,41684) = 1737305752 / 2
LCM(41678,41684) = 868652876

Least Common Multiple (LCM) of 41678 and 41684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41678 and 41684. First we will calculate the prime factors of 41678 and 41684.

Prime Factorization of 41678

Prime Factorization of 41684

Now multiplying the highest exponent prime factors to calculate the LCM of 41678 and 41684.

LCM(41678,41684) = 2² × 7¹ × 13¹ × 229¹ × 17¹ × 613¹
LCM(41678,41684) = 868652876