What is the Least Common Multiple of 92234 and 92251?

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 92251 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 92251, than apply into the LCM equation.

GCF(92234,92251) = 1
LCM(92234,92251) = ( 92234 × 92251) / 1
LCM(92234,92251) = 8508678734 / 1
LCM(92234,92251) = 8508678734

Least Common Multiple (LCM) of 92234 and 92251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92234 and 92251. First we will calculate the prime factors of 92234 and 92251.

Prime Factorization of 92234

Prime Factorization of 92251

Now multiplying the highest exponent prime factors to calculate the LCM of 92234 and 92251.

LCM(92234,92251) = 2¹ × 107¹ × 431¹ × 92251¹
LCM(92234,92251) = 8508678734