What is the Least Common Multiple of 90208 and 90219?

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 90208 and 90219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90208 and 90219, than apply into the LCM equation.

GCF(90208,90219) = 1
LCM(90208,90219) = ( 90208 × 90219) / 1
LCM(90208,90219) = 8138475552 / 1
LCM(90208,90219) = 8138475552

Least Common Multiple (LCM) of 90208 and 90219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90208 and 90219. First we will calculate the prime factors of 90208 and 90219.

Prime Factorization of 90208

Prime Factorization of 90219

Now multiplying the highest exponent prime factors to calculate the LCM of 90208 and 90219.

LCM(90208,90219) = 2⁵ × 2819¹ × 3¹ × 17¹ × 29¹ × 61¹
LCM(90208,90219) = 8138475552