What is the Least Common Multiple of 40996 and 41000?

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 40996 and 41000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40996 and 41000, than apply into the LCM equation.

GCF(40996,41000) = 4
LCM(40996,41000) = ( 40996 × 41000) / 4
LCM(40996,41000) = 1680836000 / 4
LCM(40996,41000) = 420209000

Least Common Multiple (LCM) of 40996 and 41000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40996 and 41000. First we will calculate the prime factors of 40996 and 41000.

Prime Factorization of 40996

Prime Factorization of 41000

Now multiplying the highest exponent prime factors to calculate the LCM of 40996 and 41000.

LCM(40996,41000) = 2³ × 37¹ × 277¹ × 5³ × 41¹
LCM(40996,41000) = 420209000