What is the Least Common Multiple of 69921 and 69933?

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 69921 and 69933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69921 and 69933, than apply into the LCM equation.

GCF(69921,69933) = 3
LCM(69921,69933) = ( 69921 × 69933) / 3
LCM(69921,69933) = 4889785293 / 3
LCM(69921,69933) = 1629928431

Least Common Multiple (LCM) of 69921 and 69933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69921 and 69933. First we will calculate the prime factors of 69921 and 69933.

Prime Factorization of 69921

Prime Factorization of 69933

Now multiplying the highest exponent prime factors to calculate the LCM of 69921 and 69933.

LCM(69921,69933) = 3² × 17¹ × 457¹ × 23311¹
LCM(69921,69933) = 1629928431