What is the Least Common Multiple of 41784 and 41801?

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 41784 and 41801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41784 and 41801, than apply into the LCM equation.

GCF(41784,41801) = 1
LCM(41784,41801) = ( 41784 × 41801) / 1
LCM(41784,41801) = 1746612984 / 1
LCM(41784,41801) = 1746612984

Least Common Multiple (LCM) of 41784 and 41801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41784 and 41801. First we will calculate the prime factors of 41784 and 41801.

Prime Factorization of 41784

Prime Factorization of 41801

Now multiplying the highest exponent prime factors to calculate the LCM of 41784 and 41801.

LCM(41784,41801) = 2³ × 3¹ × 1741¹ × 41801¹
LCM(41784,41801) = 1746612984