What is the Least Common Multiple of 92225 and 92239?

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 92225 and 92239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92225 and 92239, than apply into the LCM equation.

GCF(92225,92239) = 7
LCM(92225,92239) = ( 92225 × 92239) / 7
LCM(92225,92239) = 8506741775 / 7
LCM(92225,92239) = 1215248825

Least Common Multiple (LCM) of 92225 and 92239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92225 and 92239. First we will calculate the prime factors of 92225 and 92239.

Prime Factorization of 92225

Prime Factorization of 92239

Now multiplying the highest exponent prime factors to calculate the LCM of 92225 and 92239.

LCM(92225,92239) = 5² × 7¹ × 17¹ × 31¹ × 13177¹
LCM(92225,92239) = 1215248825