What is the Least Common Multiple of 97923 and 97940?

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 97923 and 97940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97923 and 97940, than apply into the LCM equation.

GCF(97923,97940) = 1
LCM(97923,97940) = ( 97923 × 97940) / 1
LCM(97923,97940) = 9590578620 / 1
LCM(97923,97940) = 9590578620

Least Common Multiple (LCM) of 97923 and 97940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97923 and 97940. First we will calculate the prime factors of 97923 and 97940.

Prime Factorization of 97923

Prime Factorization of 97940

Now multiplying the highest exponent prime factors to calculate the LCM of 97923 and 97940.

LCM(97923,97940) = 3¹ × 7¹ × 4663¹ × 2² × 5¹ × 59¹ × 83¹
LCM(97923,97940) = 9590578620