What is the Least Common Multiple of 92276 and 92282?

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 92276 and 92282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92276 and 92282, than apply into the LCM equation.

GCF(92276,92282) = 2
LCM(92276,92282) = ( 92276 × 92282) / 2
LCM(92276,92282) = 8515413832 / 2
LCM(92276,92282) = 4257706916

Least Common Multiple (LCM) of 92276 and 92282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92276 and 92282. First we will calculate the prime factors of 92276 and 92282.

Prime Factorization of 92276

Prime Factorization of 92282

Now multiplying the highest exponent prime factors to calculate the LCM of 92276 and 92282.

LCM(92276,92282) = 2² × 17¹ × 23¹ × 59¹ × 46141¹
LCM(92276,92282) = 4257706916