What is the Least Common Multiple of 88321 and 88334?

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 88321 and 88334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88321 and 88334, than apply into the LCM equation.

GCF(88321,88334) = 1
LCM(88321,88334) = ( 88321 × 88334) / 1
LCM(88321,88334) = 7801747214 / 1
LCM(88321,88334) = 7801747214

Least Common Multiple (LCM) of 88321 and 88334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88321 and 88334. First we will calculate the prime factors of 88321 and 88334.

Prime Factorization of 88321

Prime Factorization of 88334

Now multiplying the highest exponent prime factors to calculate the LCM of 88321 and 88334.

LCM(88321,88334) = 88321¹ × 2¹ × 29¹ × 1523¹
LCM(88321,88334) = 7801747214