What is the Least Common Multiple of 90245 and 90258?

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 90245 and 90258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90245 and 90258, than apply into the LCM equation.

GCF(90245,90258) = 1
LCM(90245,90258) = ( 90245 × 90258) / 1
LCM(90245,90258) = 8145333210 / 1
LCM(90245,90258) = 8145333210

Least Common Multiple (LCM) of 90245 and 90258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90245 and 90258. First we will calculate the prime factors of 90245 and 90258.

Prime Factorization of 90245

Prime Factorization of 90258

Now multiplying the highest exponent prime factors to calculate the LCM of 90245 and 90258.

LCM(90245,90258) = 5¹ × 18049¹ × 2¹ × 3¹ × 7² × 307¹
LCM(90245,90258) = 8145333210