What is the Least Common Multiple of 7164 and 7173?

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 7164 and 7173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7164 and 7173, than apply into the LCM equation.

GCF(7164,7173) = 9
LCM(7164,7173) = ( 7164 × 7173) / 9
LCM(7164,7173) = 51387372 / 9
LCM(7164,7173) = 5709708

Least Common Multiple (LCM) of 7164 and 7173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7164 and 7173. First we will calculate the prime factors of 7164 and 7173.

Prime Factorization of 7164

Prime Factorization of 7173

Now multiplying the highest exponent prime factors to calculate the LCM of 7164 and 7173.

LCM(7164,7173) = 2² × 3² × 199¹ × 797¹
LCM(7164,7173) = 5709708