What is the Least Common Multiple of 92234 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 92234 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 92234 and 92239, than apply into the LCM equation.

GCF(92234,92239) = 1
LCM(92234,92239) = ( 92234 × 92239) / 1
LCM(92234,92239) = 8507571926 / 1
LCM(92234,92239) = 8507571926

Least Common Multiple (LCM) of 92234 and 92239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92234 and 92239. First we will calculate the prime factors of 92234 and 92239.

Prime Factorization of 92234

Prime Factorization of 92239

Now multiplying the highest exponent prime factors to calculate the LCM of 92234 and 92239.

LCM(92234,92239) = 2¹ × 107¹ × 431¹ × 7¹ × 13177¹
LCM(92234,92239) = 8507571926