What is the Least Common Multiple of 97887 and 97893?

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 97887 and 97893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97887 and 97893, than apply into the LCM equation.

GCF(97887,97893) = 3
LCM(97887,97893) = ( 97887 × 97893) / 3
LCM(97887,97893) = 9582452091 / 3
LCM(97887,97893) = 3194150697

Least Common Multiple (LCM) of 97887 and 97893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97887 and 97893. First we will calculate the prime factors of 97887 and 97893.

Prime Factorization of 97887

Prime Factorization of 97893

Now multiplying the highest exponent prime factors to calculate the LCM of 97887 and 97893.

LCM(97887,97893) = 3² × 67¹ × 487¹ × 73¹ × 149¹
LCM(97887,97893) = 3194150697