What is the Least Common Multiple of 42008 and 42016?

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 42008 and 42016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42008 and 42016, than apply into the LCM equation.

GCF(42008,42016) = 8
LCM(42008,42016) = ( 42008 × 42016) / 8
LCM(42008,42016) = 1765008128 / 8
LCM(42008,42016) = 220626016

Least Common Multiple (LCM) of 42008 and 42016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42008 and 42016. First we will calculate the prime factors of 42008 and 42016.

Prime Factorization of 42008

Prime Factorization of 42016

Now multiplying the highest exponent prime factors to calculate the LCM of 42008 and 42016.

LCM(42008,42016) = 2⁵ × 59¹ × 89¹ × 13¹ × 101¹
LCM(42008,42016) = 220626016