GCF and LCM Calculator Logo

What is the Least Common Multiple of 94235 and 94254?

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 (LCM) of 94235 and 94254 is 8882025690.

LCM(94235,94254) = 8882025690

LCM Calculator and
and

Least Common Multiple of 94235 and 94254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94235 and 94254, than apply into the LCM equation.

GCF(94235,94254) = 1
LCM(94235,94254) = ( 94235 × 94254) / 1
LCM(94235,94254) = 8882025690 / 1
LCM(94235,94254) = 8882025690

Least Common Multiple (LCM) of 94235 and 94254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94235 and 94254. First we will calculate the prime factors of 94235 and 94254.

Prime Factorization of 94235

Prime factors of 94235 are 5, 47, 401. Prime factorization of 94235 in exponential form is:

94235 = 51 × 471 × 4011

Prime Factorization of 94254

Prime factors of 94254 are 2, 3, 23, 683. Prime factorization of 94254 in exponential form is:

94254 = 21 × 31 × 231 × 6831

Now multiplying the highest exponent prime factors to calculate the LCM of 94235 and 94254.

LCM(94235,94254) = 51 × 471 × 4011 × 21 × 31 × 231 × 6831
LCM(94235,94254) = 8882025690