What is the Least Common Multiple of 90230 and 90250?

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 90230 and 90250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90230 and 90250, than apply into the LCM equation.

GCF(90230,90250) = 10
LCM(90230,90250) = ( 90230 × 90250) / 10
LCM(90230,90250) = 8143257500 / 10
LCM(90230,90250) = 814325750

Least Common Multiple (LCM) of 90230 and 90250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90230 and 90250. First we will calculate the prime factors of 90230 and 90250.

Prime Factorization of 90230

Prime Factorization of 90250

Now multiplying the highest exponent prime factors to calculate the LCM of 90230 and 90250.

LCM(90230,90250) = 2¹ × 5³ × 7¹ × 1289¹ × 19²
LCM(90230,90250) = 814325750