What is the Least Common Multiple of 8996 and 9002?

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 8996 and 9002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8996 and 9002, than apply into the LCM equation.

GCF(8996,9002) = 2
LCM(8996,9002) = ( 8996 × 9002) / 2
LCM(8996,9002) = 80981992 / 2
LCM(8996,9002) = 40490996

Least Common Multiple (LCM) of 8996 and 9002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8996 and 9002. First we will calculate the prime factors of 8996 and 9002.

Prime Factorization of 8996

Prime Factorization of 9002

Now multiplying the highest exponent prime factors to calculate the LCM of 8996 and 9002.

LCM(8996,9002) = 2² × 13¹ × 173¹ × 7¹ × 643¹
LCM(8996,9002) = 40490996