What is the Least Common Multiple of 9002 and 9008?

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 9002 and 9008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9002 and 9008, than apply into the LCM equation.

GCF(9002,9008) = 2
LCM(9002,9008) = ( 9002 × 9008) / 2
LCM(9002,9008) = 81090016 / 2
LCM(9002,9008) = 40545008

Least Common Multiple (LCM) of 9002 and 9008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9002 and 9008. First we will calculate the prime factors of 9002 and 9008.

Prime Factorization of 9002

Prime Factorization of 9008

Now multiplying the highest exponent prime factors to calculate the LCM of 9002 and 9008.

LCM(9002,9008) = 2⁴ × 7¹ × 643¹ × 563¹
LCM(9002,9008) = 40545008