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What is the Least Common Multiple of 7041 and 7053?

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 7041 and 7053 is 16553391.

LCM(7041,7053) = 16553391

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Least Common Multiple of 7041 and 7053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7041 and 7053, than apply into the LCM equation.

GCF(7041,7053) = 3
LCM(7041,7053) = ( 7041 × 7053) / 3
LCM(7041,7053) = 49660173 / 3
LCM(7041,7053) = 16553391

Least Common Multiple (LCM) of 7041 and 7053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7041 and 7053. First we will calculate the prime factors of 7041 and 7053.

Prime Factorization of 7041

Prime factors of 7041 are 3, 2347. Prime factorization of 7041 in exponential form is:

7041 = 31 × 23471

Prime Factorization of 7053

Prime factors of 7053 are 3, 2351. Prime factorization of 7053 in exponential form is:

7053 = 31 × 23511

Now multiplying the highest exponent prime factors to calculate the LCM of 7041 and 7053.

LCM(7041,7053) = 31 × 23471 × 23511
LCM(7041,7053) = 16553391