What is the Least Common Multiple of 88314 and 88332?

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 88314 and 88332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88314 and 88332, than apply into the LCM equation.

GCF(88314,88332) = 6
LCM(88314,88332) = ( 88314 × 88332) / 6
LCM(88314,88332) = 7800952248 / 6
LCM(88314,88332) = 1300158708

Least Common Multiple (LCM) of 88314 and 88332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88314 and 88332. First we will calculate the prime factors of 88314 and 88332.

Prime Factorization of 88314

Prime Factorization of 88332

Now multiplying the highest exponent prime factors to calculate the LCM of 88314 and 88332.

LCM(88314,88332) = 2² × 3¹ × 41¹ × 359¹ × 17¹ × 433¹
LCM(88314,88332) = 1300158708