What is the Least Common Multiple of 7149 and 7155?

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 7149 and 7155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7149 and 7155, than apply into the LCM equation.

GCF(7149,7155) = 3
LCM(7149,7155) = ( 7149 × 7155) / 3
LCM(7149,7155) = 51151095 / 3
LCM(7149,7155) = 17050365

Least Common Multiple (LCM) of 7149 and 7155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7149 and 7155. First we will calculate the prime factors of 7149 and 7155.

Prime Factorization of 7149

Prime Factorization of 7155

Now multiplying the highest exponent prime factors to calculate the LCM of 7149 and 7155.

LCM(7149,7155) = 3³ × 2383¹ × 5¹ × 53¹
LCM(7149,7155) = 17050365