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What is the Least Common Multiple of 81062 and 81070?

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 81062 and 81070 is 3285848170.

LCM(81062,81070) = 3285848170

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Least Common Multiple of 81062 and 81070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81062 and 81070, than apply into the LCM equation.

GCF(81062,81070) = 2
LCM(81062,81070) = ( 81062 × 81070) / 2
LCM(81062,81070) = 6571696340 / 2
LCM(81062,81070) = 3285848170

Least Common Multiple (LCM) of 81062 and 81070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81062 and 81070. First we will calculate the prime factors of 81062 and 81070.

Prime Factorization of 81062

Prime factors of 81062 are 2, 40531. Prime factorization of 81062 in exponential form is:

81062 = 21 × 405311

Prime Factorization of 81070

Prime factors of 81070 are 2, 5, 11, 67. Prime factorization of 81070 in exponential form is:

81070 = 21 × 51 × 112 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 81062 and 81070.

LCM(81062,81070) = 21 × 405311 × 51 × 112 × 671
LCM(81062,81070) = 3285848170