What is the Least Common Multiple of 97893 and 97908?

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 97893 and 97908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97893 and 97908, than apply into the LCM equation.

GCF(97893,97908) = 3
LCM(97893,97908) = ( 97893 × 97908) / 3
LCM(97893,97908) = 9584507844 / 3
LCM(97893,97908) = 3194835948

Least Common Multiple (LCM) of 97893 and 97908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97893 and 97908. First we will calculate the prime factors of 97893 and 97908.

Prime Factorization of 97893

Prime Factorization of 97908

Now multiplying the highest exponent prime factors to calculate the LCM of 97893 and 97908.

LCM(97893,97908) = 3² × 73¹ × 149¹ × 2² × 41¹ × 199¹
LCM(97893,97908) = 3194835948