What is the Least Common Multiple of 90921 and 90933?

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 90921 and 90933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90921 and 90933, than apply into the LCM equation.

GCF(90921,90933) = 3
LCM(90921,90933) = ( 90921 × 90933) / 3
LCM(90921,90933) = 8267719293 / 3
LCM(90921,90933) = 2755906431

Least Common Multiple (LCM) of 90921 and 90933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90921 and 90933. First we will calculate the prime factors of 90921 and 90933.

Prime Factorization of 90921

Prime Factorization of 90933

Now multiplying the highest exponent prime factors to calculate the LCM of 90921 and 90933.

LCM(90921,90933) = 3¹ × 30307¹ × 17¹ × 1783¹
LCM(90921,90933) = 2755906431