What is the Least Common Multiple of 97365 and 97371?

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 97365 and 97371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97365 and 97371, than apply into the LCM equation.

GCF(97365,97371) = 3
LCM(97365,97371) = ( 97365 × 97371) / 3
LCM(97365,97371) = 9480527415 / 3
LCM(97365,97371) = 3160175805

Least Common Multiple (LCM) of 97365 and 97371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97365 and 97371. First we will calculate the prime factors of 97365 and 97371.

Prime Factorization of 97365

Prime Factorization of 97371

Now multiplying the highest exponent prime factors to calculate the LCM of 97365 and 97371.

LCM(97365,97371) = 3² × 5¹ × 6491¹ × 31¹ × 349¹
LCM(97365,97371) = 3160175805