What is the Least Common Multiple of 69008 and 69020?

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 69020 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 69020, than apply into the LCM equation.

GCF(69008,69020) = 4
LCM(69008,69020) = ( 69008 × 69020) / 4
LCM(69008,69020) = 4762932160 / 4
LCM(69008,69020) = 1190733040

Least Common Multiple (LCM) of 69008 and 69020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69008 and 69020. First we will calculate the prime factors of 69008 and 69020.

Prime Factorization of 69008

Prime Factorization of 69020

Now multiplying the highest exponent prime factors to calculate the LCM of 69008 and 69020.

LCM(69008,69020) = 2⁴ × 19¹ × 227¹ × 5¹ × 7¹ × 17¹ × 29¹
LCM(69008,69020) = 1190733040