What is the Least Common Multiple of 92278 and 92284?

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 92278 and 92284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92278 and 92284, than apply into the LCM equation.

GCF(92278,92284) = 2
LCM(92278,92284) = ( 92278 × 92284) / 2
LCM(92278,92284) = 8515782952 / 2
LCM(92278,92284) = 4257891476

Least Common Multiple (LCM) of 92278 and 92284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92278 and 92284. First we will calculate the prime factors of 92278 and 92284.

Prime Factorization of 92278

Prime Factorization of 92284

Now multiplying the highest exponent prime factors to calculate the LCM of 92278 and 92284.

LCM(92278,92284) = 2² × 29¹ × 37¹ × 43¹ × 23071¹
LCM(92278,92284) = 4257891476