What is the Least Common Multiple of 92230 and 92234?

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 92230 and 92234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92230 and 92234, than apply into the LCM equation.

GCF(92230,92234) = 2
LCM(92230,92234) = ( 92230 × 92234) / 2
LCM(92230,92234) = 8506741820 / 2
LCM(92230,92234) = 4253370910

Least Common Multiple (LCM) of 92230 and 92234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92230 and 92234. First we will calculate the prime factors of 92230 and 92234.

Prime Factorization of 92230

Prime Factorization of 92234

Now multiplying the highest exponent prime factors to calculate the LCM of 92230 and 92234.

LCM(92230,92234) = 2¹ × 5¹ × 23¹ × 401¹ × 107¹ × 431¹
LCM(92230,92234) = 4253370910