What is the Least Common Multiple of 36008 and 36016?

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 36008 and 36016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36008 and 36016, than apply into the LCM equation.

GCF(36008,36016) = 8
LCM(36008,36016) = ( 36008 × 36016) / 8
LCM(36008,36016) = 1296864128 / 8
LCM(36008,36016) = 162108016

Least Common Multiple (LCM) of 36008 and 36016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36008 and 36016. First we will calculate the prime factors of 36008 and 36016.

Prime Factorization of 36008

Prime Factorization of 36016

Now multiplying the highest exponent prime factors to calculate the LCM of 36008 and 36016.

LCM(36008,36016) = 2⁴ × 7¹ × 643¹ × 2251¹
LCM(36008,36016) = 162108016