What is the Least Common Multiple of 7144 and 7164?

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 7144 and 7164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7144 and 7164, than apply into the LCM equation.

GCF(7144,7164) = 4
LCM(7144,7164) = ( 7144 × 7164) / 4
LCM(7144,7164) = 51179616 / 4
LCM(7144,7164) = 12794904

Least Common Multiple (LCM) of 7144 and 7164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7144 and 7164. First we will calculate the prime factors of 7144 and 7164.

Prime Factorization of 7144

Prime Factorization of 7164

Now multiplying the highest exponent prime factors to calculate the LCM of 7144 and 7164.

LCM(7144,7164) = 2³ × 19¹ × 47¹ × 3² × 199¹
LCM(7144,7164) = 12794904