What is the Least Common Multiple of 40989 and 40996?

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 40989 and 40996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40989 and 40996, than apply into the LCM equation.

GCF(40989,40996) = 1
LCM(40989,40996) = ( 40989 × 40996) / 1
LCM(40989,40996) = 1680385044 / 1
LCM(40989,40996) = 1680385044

Least Common Multiple (LCM) of 40989 and 40996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40989 and 40996. First we will calculate the prime factors of 40989 and 40996.

Prime Factorization of 40989

Prime Factorization of 40996

Now multiplying the highest exponent prime factors to calculate the LCM of 40989 and 40996.

LCM(40989,40996) = 3¹ × 13¹ × 1051¹ × 2² × 37¹ × 277¹
LCM(40989,40996) = 1680385044