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What is the Least Common Multiple of 7180 and 7196?

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 7180 and 7196 is 12916820.

LCM(7180,7196) = 12916820

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Least Common Multiple of 7180 and 7196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7180 and 7196, than apply into the LCM equation.

GCF(7180,7196) = 4
LCM(7180,7196) = ( 7180 × 7196) / 4
LCM(7180,7196) = 51667280 / 4
LCM(7180,7196) = 12916820

Least Common Multiple (LCM) of 7180 and 7196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7180 and 7196. First we will calculate the prime factors of 7180 and 7196.

Prime Factorization of 7180

Prime factors of 7180 are 2, 5, 359. Prime factorization of 7180 in exponential form is:

7180 = 22 × 51 × 3591

Prime Factorization of 7196

Prime factors of 7196 are 2, 7, 257. Prime factorization of 7196 in exponential form is:

7196 = 22 × 71 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 7180 and 7196.

LCM(7180,7196) = 22 × 51 × 3591 × 71 × 2571
LCM(7180,7196) = 12916820