What is the Least Common Multiple of 94254 and 94262?

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 94262 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 94262, than apply into the LCM equation.

GCF(94254,94262) = 2
LCM(94254,94262) = ( 94254 × 94262) / 2
LCM(94254,94262) = 8884570548 / 2
LCM(94254,94262) = 4442285274

Least Common Multiple (LCM) of 94254 and 94262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94254 and 94262. First we will calculate the prime factors of 94254 and 94262.

Prime Factorization of 94254

Prime Factorization of 94262

Now multiplying the highest exponent prime factors to calculate the LCM of 94254 and 94262.

LCM(94254,94262) = 2¹ × 3¹ × 23¹ × 683¹ × 7¹ × 6733¹
LCM(94254,94262) = 4442285274