What is the Least Common Multiple of 42208 and 42228?

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 42208 and 42228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42208 and 42228, than apply into the LCM equation.

GCF(42208,42228) = 4
LCM(42208,42228) = ( 42208 × 42228) / 4
LCM(42208,42228) = 1782359424 / 4
LCM(42208,42228) = 445589856

Least Common Multiple (LCM) of 42208 and 42228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42208 and 42228. First we will calculate the prime factors of 42208 and 42228.

Prime Factorization of 42208

Prime Factorization of 42228

Now multiplying the highest exponent prime factors to calculate the LCM of 42208 and 42228.

LCM(42208,42228) = 2⁵ × 1319¹ × 3³ × 17¹ × 23¹
LCM(42208,42228) = 445589856