What is the Least Common Multiple of 8428 and 8446?

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 8428 and 8446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8428 and 8446, than apply into the LCM equation.

GCF(8428,8446) = 2
LCM(8428,8446) = ( 8428 × 8446) / 2
LCM(8428,8446) = 71182888 / 2
LCM(8428,8446) = 35591444

Least Common Multiple (LCM) of 8428 and 8446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8428 and 8446. First we will calculate the prime factors of 8428 and 8446.

Prime Factorization of 8428

Prime Factorization of 8446

Now multiplying the highest exponent prime factors to calculate the LCM of 8428 and 8446.

LCM(8428,8446) = 2² × 7² × 43¹ × 41¹ × 103¹
LCM(8428,8446) = 35591444