What is the Least Common Multiple of 93174 and 93180?

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 93174 and 93180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93174 and 93180, than apply into the LCM equation.

GCF(93174,93180) = 6
LCM(93174,93180) = ( 93174 × 93180) / 6
LCM(93174,93180) = 8681953320 / 6
LCM(93174,93180) = 1446992220

Least Common Multiple (LCM) of 93174 and 93180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93174 and 93180. First we will calculate the prime factors of 93174 and 93180.

Prime Factorization of 93174

Prime Factorization of 93180

Now multiplying the highest exponent prime factors to calculate the LCM of 93174 and 93180.

LCM(93174,93180) = 2² × 3¹ × 53¹ × 293¹ × 5¹ × 1553¹
LCM(93174,93180) = 1446992220