What is the Least Common Multiple of 94428 and 94442?

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 94428 and 94442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94428 and 94442, than apply into the LCM equation.

GCF(94428,94442) = 2
LCM(94428,94442) = ( 94428 × 94442) / 2
LCM(94428,94442) = 8917969176 / 2
LCM(94428,94442) = 4458984588

Least Common Multiple (LCM) of 94428 and 94442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94428 and 94442. First we will calculate the prime factors of 94428 and 94442.

Prime Factorization of 94428

Prime Factorization of 94442

Now multiplying the highest exponent prime factors to calculate the LCM of 94428 and 94442.

LCM(94428,94442) = 2² × 3² × 43¹ × 61¹ × 47221¹
LCM(94428,94442) = 4458984588