What is the Least Common Multiple of 40991 and 41008?

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 40991 and 41008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40991 and 41008, than apply into the LCM equation.

GCF(40991,41008) = 1
LCM(40991,41008) = ( 40991 × 41008) / 1
LCM(40991,41008) = 1680958928 / 1
LCM(40991,41008) = 1680958928

Least Common Multiple (LCM) of 40991 and 41008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40991 and 41008. First we will calculate the prime factors of 40991 and 41008.

Prime Factorization of 40991

Prime Factorization of 41008

Now multiplying the highest exponent prime factors to calculate the LCM of 40991 and 41008.

LCM(40991,41008) = 179¹ × 229¹ × 2⁴ × 11¹ × 233¹
LCM(40991,41008) = 1680958928