What is the Least Common Multiple of 41984 and 42001?

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 41984 and 42001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41984 and 42001, than apply into the LCM equation.

GCF(41984,42001) = 1
LCM(41984,42001) = ( 41984 × 42001) / 1
LCM(41984,42001) = 1763369984 / 1
LCM(41984,42001) = 1763369984

Least Common Multiple (LCM) of 41984 and 42001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41984 and 42001. First we will calculate the prime factors of 41984 and 42001.

Prime Factorization of 41984

Prime Factorization of 42001

Now multiplying the highest exponent prime factors to calculate the LCM of 41984 and 42001.

LCM(41984,42001) = 2¹⁰ × 41¹ × 97¹ × 433¹
LCM(41984,42001) = 1763369984