What is the Least Common Multiple of 62008 and 62020?

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 62008 and 62020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62008 and 62020, than apply into the LCM equation.

GCF(62008,62020) = 4
LCM(62008,62020) = ( 62008 × 62020) / 4
LCM(62008,62020) = 3845736160 / 4
LCM(62008,62020) = 961434040

Least Common Multiple (LCM) of 62008 and 62020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62008 and 62020. First we will calculate the prime factors of 62008 and 62020.

Prime Factorization of 62008

Prime Factorization of 62020

Now multiplying the highest exponent prime factors to calculate the LCM of 62008 and 62020.

LCM(62008,62020) = 2³ × 23¹ × 337¹ × 5¹ × 7¹ × 443¹
LCM(62008,62020) = 961434040