What is the Least Common Multiple of 97341 and 97347?

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 97341 and 97347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97341 and 97347, than apply into the LCM equation.

GCF(97341,97347) = 3
LCM(97341,97347) = ( 97341 × 97347) / 3
LCM(97341,97347) = 9475854327 / 3
LCM(97341,97347) = 3158618109

Least Common Multiple (LCM) of 97341 and 97347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97341 and 97347. First we will calculate the prime factors of 97341 and 97347.

Prime Factorization of 97341

Prime Factorization of 97347

Now multiplying the highest exponent prime factors to calculate the LCM of 97341 and 97347.

LCM(97341,97347) = 3¹ × 71¹ × 457¹ × 37¹ × 877¹
LCM(97341,97347) = 3158618109