What is the Least Common Multiple of 97914 and 97923?

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 97914 and 97923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97914 and 97923, than apply into the LCM equation.

GCF(97914,97923) = 3
LCM(97914,97923) = ( 97914 × 97923) / 3
LCM(97914,97923) = 9588032622 / 3
LCM(97914,97923) = 3196010874

Least Common Multiple (LCM) of 97914 and 97923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97914 and 97923. First we will calculate the prime factors of 97914 and 97923.

Prime Factorization of 97914

Prime Factorization of 97923

Now multiplying the highest exponent prime factors to calculate the LCM of 97914 and 97923.

LCM(97914,97923) = 2¹ × 3¹ × 16319¹ × 7¹ × 4663¹
LCM(97914,97923) = 3196010874