What is the Least Common Multiple of 97878 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 97878 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 97878 and 97893, than apply into the LCM equation.

GCF(97878,97893) = 3
LCM(97878,97893) = ( 97878 × 97893) / 3
LCM(97878,97893) = 9581571054 / 3
LCM(97878,97893) = 3193857018

Least Common Multiple (LCM) of 97878 and 97893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97878 and 97893. First we will calculate the prime factors of 97878 and 97893.

Prime Factorization of 97878

Prime Factorization of 97893

Now multiplying the highest exponent prime factors to calculate the LCM of 97878 and 97893.

LCM(97878,97893) = 2¹ × 3² × 11¹ × 1483¹ × 73¹ × 149¹
LCM(97878,97893) = 3193857018