What is the Least Common Multiple of 40984 and 40997?

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 40984 and 40997 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40984 and 40997, than apply into the LCM equation.

GCF(40984,40997) = 1
LCM(40984,40997) = ( 40984 × 40997) / 1
LCM(40984,40997) = 1680221048 / 1
LCM(40984,40997) = 1680221048

Least Common Multiple (LCM) of 40984 and 40997 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40984 and 40997. First we will calculate the prime factors of 40984 and 40997.

Prime Factorization of 40984

Prime Factorization of 40997

Now multiplying the highest exponent prime factors to calculate the LCM of 40984 and 40997.

LCM(40984,40997) = 2³ × 47¹ × 109¹ × 11¹ × 3727¹
LCM(40984,40997) = 1680221048