What is the Least Common Multiple of 94254 and 94258?

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 94254 and 94258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94254 and 94258, than apply into the LCM equation.

GCF(94254,94258) = 2
LCM(94254,94258) = ( 94254 × 94258) / 2
LCM(94254,94258) = 8884193532 / 2
LCM(94254,94258) = 4442096766

Least Common Multiple (LCM) of 94254 and 94258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94254 and 94258. First we will calculate the prime factors of 94254 and 94258.

Prime Factorization of 94254

Prime Factorization of 94258

Now multiplying the highest exponent prime factors to calculate the LCM of 94254 and 94258.

LCM(94254,94258) = 2¹ × 3¹ × 23¹ × 683¹ × 47129¹
LCM(94254,94258) = 4442096766