What is the Least Common Multiple of 93168 and 93174?

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 93168 and 93174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93168 and 93174, than apply into the LCM equation.

GCF(93168,93174) = 6
LCM(93168,93174) = ( 93168 × 93174) / 6
LCM(93168,93174) = 8680835232 / 6
LCM(93168,93174) = 1446805872

Least Common Multiple (LCM) of 93168 and 93174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93168 and 93174. First we will calculate the prime factors of 93168 and 93174.

Prime Factorization of 93168

Prime Factorization of 93174

Now multiplying the highest exponent prime factors to calculate the LCM of 93168 and 93174.

LCM(93168,93174) = 2⁴ × 3² × 647¹ × 53¹ × 293¹
LCM(93168,93174) = 1446805872