What is the Least Common Multiple of 93308 and 93324?

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 93308 and 93324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93308 and 93324, than apply into the LCM equation.

GCF(93308,93324) = 4
LCM(93308,93324) = ( 93308 × 93324) / 4
LCM(93308,93324) = 8707875792 / 4
LCM(93308,93324) = 2176968948

Least Common Multiple (LCM) of 93308 and 93324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93308 and 93324. First we will calculate the prime factors of 93308 and 93324.

Prime Factorization of 93308

Prime Factorization of 93324

Now multiplying the highest exponent prime factors to calculate the LCM of 93308 and 93324.

LCM(93308,93324) = 2² × 23327¹ × 3¹ × 7¹ × 11¹ × 101¹
LCM(93308,93324) = 2176968948