What is the Least Common Multiple of 90218 and 90238?

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 90218 and 90238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90218 and 90238, than apply into the LCM equation.

GCF(90218,90238) = 2
LCM(90218,90238) = ( 90218 × 90238) / 2
LCM(90218,90238) = 8141091884 / 2
LCM(90218,90238) = 4070545942

Least Common Multiple (LCM) of 90218 and 90238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90218 and 90238. First we will calculate the prime factors of 90218 and 90238.

Prime Factorization of 90218

Prime Factorization of 90238

Now multiplying the highest exponent prime factors to calculate the LCM of 90218 and 90238.

LCM(90218,90238) = 2¹ × 79¹ × 571¹ × 45119¹
LCM(90218,90238) = 4070545942