What is the Least Common Multiple of 90216 and 90223?

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 90216 and 90223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90216 and 90223, than apply into the LCM equation.

GCF(90216,90223) = 7
LCM(90216,90223) = ( 90216 × 90223) / 7
LCM(90216,90223) = 8139558168 / 7
LCM(90216,90223) = 1162794024

Least Common Multiple (LCM) of 90216 and 90223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90216 and 90223. First we will calculate the prime factors of 90216 and 90223.

Prime Factorization of 90216

Prime Factorization of 90223

Now multiplying the highest exponent prime factors to calculate the LCM of 90216 and 90223.

LCM(90216,90223) = 2³ × 3² × 7¹ × 179¹ × 12889¹
LCM(90216,90223) = 1162794024