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What is the Least Common Multiple of 81042 and 81053?

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 81042 and 81053 is 6568697226.

LCM(81042,81053) = 6568697226

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Least Common Multiple of 81042 and 81053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81042 and 81053, than apply into the LCM equation.

GCF(81042,81053) = 1
LCM(81042,81053) = ( 81042 × 81053) / 1
LCM(81042,81053) = 6568697226 / 1
LCM(81042,81053) = 6568697226

Least Common Multiple (LCM) of 81042 and 81053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81042 and 81053. First we will calculate the prime factors of 81042 and 81053.

Prime Factorization of 81042

Prime factors of 81042 are 2, 3, 13, 1039. Prime factorization of 81042 in exponential form is:

81042 = 21 × 31 × 131 × 10391

Prime Factorization of 81053

Prime factors of 81053 are 7, 11579. Prime factorization of 81053 in exponential form is:

81053 = 71 × 115791

Now multiplying the highest exponent prime factors to calculate the LCM of 81042 and 81053.

LCM(81042,81053) = 21 × 31 × 131 × 10391 × 71 × 115791
LCM(81042,81053) = 6568697226