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What is the Least Common Multiple of 7160 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 (LCM) of 7160 and 7164 is 12823560.

LCM(7160,7164) = 12823560

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Least Common Multiple of 7160 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 7160 and 7164, than apply into the LCM equation.

GCF(7160,7164) = 4
LCM(7160,7164) = ( 7160 × 7164) / 4
LCM(7160,7164) = 51294240 / 4
LCM(7160,7164) = 12823560

Least Common Multiple (LCM) of 7160 and 7164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7160 and 7164. First we will calculate the prime factors of 7160 and 7164.

Prime Factorization of 7160

Prime factors of 7160 are 2, 5, 179. Prime factorization of 7160 in exponential form is:

7160 = 23 × 51 × 1791

Prime Factorization of 7164

Prime factors of 7164 are 2, 3, 199. Prime factorization of 7164 in exponential form is:

7164 = 22 × 32 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 7160 and 7164.

LCM(7160,7164) = 23 × 51 × 1791 × 32 × 1991
LCM(7160,7164) = 12823560