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What is the Least Common Multiple of 7282 and 7298?

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 7282 and 7298 is 26572018.

LCM(7282,7298) = 26572018

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Least Common Multiple of 7282 and 7298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7282 and 7298, than apply into the LCM equation.

GCF(7282,7298) = 2
LCM(7282,7298) = ( 7282 × 7298) / 2
LCM(7282,7298) = 53144036 / 2
LCM(7282,7298) = 26572018

Least Common Multiple (LCM) of 7282 and 7298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7282 and 7298. First we will calculate the prime factors of 7282 and 7298.

Prime Factorization of 7282

Prime factors of 7282 are 2, 11, 331. Prime factorization of 7282 in exponential form is:

7282 = 21 × 111 × 3311

Prime Factorization of 7298

Prime factors of 7298 are 2, 41, 89. Prime factorization of 7298 in exponential form is:

7298 = 21 × 411 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 7282 and 7298.

LCM(7282,7298) = 21 × 111 × 3311 × 411 × 891
LCM(7282,7298) = 26572018