What is the Least Common Multiple of 90419 and 90433?

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 90419 and 90433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90419 and 90433, than apply into the LCM equation.

GCF(90419,90433) = 7
LCM(90419,90433) = ( 90419 × 90433) / 7
LCM(90419,90433) = 8176861427 / 7
LCM(90419,90433) = 1168123061

Least Common Multiple (LCM) of 90419 and 90433 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90419 and 90433. First we will calculate the prime factors of 90419 and 90433.

Prime Factorization of 90419

Prime Factorization of 90433

Now multiplying the highest exponent prime factors to calculate the LCM of 90419 and 90433.

LCM(90419,90433) = 7¹ × 12917¹ × 12919¹
LCM(90419,90433) = 1168123061