What is the Least Common Multiple of 43208 and 43228?

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 43208 and 43228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43208 and 43228, than apply into the LCM equation.

GCF(43208,43228) = 4
LCM(43208,43228) = ( 43208 × 43228) / 4
LCM(43208,43228) = 1867795424 / 4
LCM(43208,43228) = 466948856

Least Common Multiple (LCM) of 43208 and 43228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43208 and 43228. First we will calculate the prime factors of 43208 and 43228.

Prime Factorization of 43208

Prime Factorization of 43228

Now multiplying the highest exponent prime factors to calculate the LCM of 43208 and 43228.

LCM(43208,43228) = 2³ × 11¹ × 491¹ × 101¹ × 107¹
LCM(43208,43228) = 466948856