What is the Least Common Multiple of 93324 and 93342?

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 93324 and 93342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93324 and 93342, than apply into the LCM equation.

GCF(93324,93342) = 6
LCM(93324,93342) = ( 93324 × 93342) / 6
LCM(93324,93342) = 8711048808 / 6
LCM(93324,93342) = 1451841468

Least Common Multiple (LCM) of 93324 and 93342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93324 and 93342. First we will calculate the prime factors of 93324 and 93342.

Prime Factorization of 93324

Prime Factorization of 93342

Now multiplying the highest exponent prime factors to calculate the LCM of 93324 and 93342.

LCM(93324,93342) = 2² × 3¹ × 7¹ × 11¹ × 101¹ × 47¹ × 331¹
LCM(93324,93342) = 1451841468