What is the Least Common Multiple of 21008 and 21013?

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 21008 and 21013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21008 and 21013, than apply into the LCM equation.

GCF(21008,21013) = 1
LCM(21008,21013) = ( 21008 × 21013) / 1
LCM(21008,21013) = 441441104 / 1
LCM(21008,21013) = 441441104

Least Common Multiple (LCM) of 21008 and 21013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21008 and 21013. First we will calculate the prime factors of 21008 and 21013.

Prime Factorization of 21008

Prime Factorization of 21013

Now multiplying the highest exponent prime factors to calculate the LCM of 21008 and 21013.

LCM(21008,21013) = 2⁴ × 13¹ × 101¹ × 21013¹
LCM(21008,21013) = 441441104