What is the Least Common Multiple of 94100 and 94106?

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 94100 and 94106 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94100 and 94106, than apply into the LCM equation.

GCF(94100,94106) = 2
LCM(94100,94106) = ( 94100 × 94106) / 2
LCM(94100,94106) = 8855374600 / 2
LCM(94100,94106) = 4427687300

Least Common Multiple (LCM) of 94100 and 94106 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94100 and 94106. First we will calculate the prime factors of 94100 and 94106.

Prime Factorization of 94100

Prime Factorization of 94106

Now multiplying the highest exponent prime factors to calculate the LCM of 94100 and 94106.

LCM(94100,94106) = 2² × 5² × 941¹ × 211¹ × 223¹
LCM(94100,94106) = 4427687300