What is the Least Common Multiple of 69008 and 69021?

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 69008 and 69021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69008 and 69021, than apply into the LCM equation.

GCF(69008,69021) = 1
LCM(69008,69021) = ( 69008 × 69021) / 1
LCM(69008,69021) = 4763001168 / 1
LCM(69008,69021) = 4763001168

Least Common Multiple (LCM) of 69008 and 69021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69008 and 69021. First we will calculate the prime factors of 69008 and 69021.

Prime Factorization of 69008

Prime Factorization of 69021

Now multiplying the highest exponent prime factors to calculate the LCM of 69008 and 69021.

LCM(69008,69021) = 2⁴ × 19¹ × 227¹ × 3² × 7669¹
LCM(69008,69021) = 4763001168