What is the Least Common Multiple of 93279 and 93285?

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 93279 and 93285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93279 and 93285, than apply into the LCM equation.

GCF(93279,93285) = 3
LCM(93279,93285) = ( 93279 × 93285) / 3
LCM(93279,93285) = 8701531515 / 3
LCM(93279,93285) = 2900510505

Least Common Multiple (LCM) of 93279 and 93285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93279 and 93285. First we will calculate the prime factors of 93279 and 93285.

Prime Factorization of 93279

Prime Factorization of 93285

Now multiplying the highest exponent prime factors to calculate the LCM of 93279 and 93285.

LCM(93279,93285) = 3³ × 17¹ × 31¹ × 59¹ × 5¹ × 691¹
LCM(93279,93285) = 2900510505