What is the Least Common Multiple of 96321 and 96337?

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 96321 and 96337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96321 and 96337, than apply into the LCM equation.

GCF(96321,96337) = 1
LCM(96321,96337) = ( 96321 × 96337) / 1
LCM(96321,96337) = 9279276177 / 1
LCM(96321,96337) = 9279276177

Least Common Multiple (LCM) of 96321 and 96337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96321 and 96337. First we will calculate the prime factors of 96321 and 96337.

Prime Factorization of 96321

Prime Factorization of 96337

Now multiplying the highest exponent prime factors to calculate the LCM of 96321 and 96337.

LCM(96321,96337) = 3¹ × 97¹ × 331¹ × 96337¹
LCM(96321,96337) = 9279276177