What is the Least Common Multiple of 97293 and 97301?

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 97293 and 97301 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97293 and 97301, than apply into the LCM equation.

GCF(97293,97301) = 1
LCM(97293,97301) = ( 97293 × 97301) / 1
LCM(97293,97301) = 9466706193 / 1
LCM(97293,97301) = 9466706193

Least Common Multiple (LCM) of 97293 and 97301 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97293 and 97301. First we will calculate the prime factors of 97293 and 97301.

Prime Factorization of 97293

Prime Factorization of 97301

Now multiplying the highest exponent prime factors to calculate the LCM of 97293 and 97301.

LCM(97293,97301) = 3¹ × 7¹ × 41¹ × 113¹ × 97301¹
LCM(97293,97301) = 9466706193