What is the Least Common Multiple of 90219 and 90236?

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 90219 and 90236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90219 and 90236, than apply into the LCM equation.

GCF(90219,90236) = 17
LCM(90219,90236) = ( 90219 × 90236) / 17
LCM(90219,90236) = 8141001684 / 17
LCM(90219,90236) = 478882452

Least Common Multiple (LCM) of 90219 and 90236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90219 and 90236. First we will calculate the prime factors of 90219 and 90236.

Prime Factorization of 90219

Prime Factorization of 90236

Now multiplying the highest exponent prime factors to calculate the LCM of 90219 and 90236.

LCM(90219,90236) = 3¹ × 17¹ × 29¹ × 61¹ × 2² × 1327¹
LCM(90219,90236) = 478882452