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What is the Least Common Multiple of 7277 and 7286?

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 7277 and 7286 is 53020222.

LCM(7277,7286) = 53020222

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Least Common Multiple of 7277 and 7286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7277 and 7286, than apply into the LCM equation.

GCF(7277,7286) = 1
LCM(7277,7286) = ( 7277 × 7286) / 1
LCM(7277,7286) = 53020222 / 1
LCM(7277,7286) = 53020222

Least Common Multiple (LCM) of 7277 and 7286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7277 and 7286. First we will calculate the prime factors of 7277 and 7286.

Prime Factorization of 7277

Prime factors of 7277 are 19, 383. Prime factorization of 7277 in exponential form is:

7277 = 191 × 3831

Prime Factorization of 7286

Prime factors of 7286 are 2, 3643. Prime factorization of 7286 in exponential form is:

7286 = 21 × 36431

Now multiplying the highest exponent prime factors to calculate the LCM of 7277 and 7286.

LCM(7277,7286) = 191 × 3831 × 21 × 36431
LCM(7277,7286) = 53020222