What is the Least Common Multiple of 92230 and 92250?

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 92250 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 92250, than apply into the LCM equation.

GCF(92230,92250) = 10
LCM(92230,92250) = ( 92230 × 92250) / 10
LCM(92230,92250) = 8508217500 / 10
LCM(92230,92250) = 850821750

Least Common Multiple (LCM) of 92230 and 92250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92230 and 92250. First we will calculate the prime factors of 92230 and 92250.

Prime Factorization of 92230

Prime Factorization of 92250

Now multiplying the highest exponent prime factors to calculate the LCM of 92230 and 92250.

LCM(92230,92250) = 2¹ × 5³ × 23¹ × 401¹ × 3² × 41¹
LCM(92230,92250) = 850821750