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What is the Least Common Multiple of 81620 and 81627?

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 81620 and 81627 is 951770820.

LCM(81620,81627) = 951770820

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Least Common Multiple of 81620 and 81627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81620 and 81627, than apply into the LCM equation.

GCF(81620,81627) = 7
LCM(81620,81627) = ( 81620 × 81627) / 7
LCM(81620,81627) = 6662395740 / 7
LCM(81620,81627) = 951770820

Least Common Multiple (LCM) of 81620 and 81627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81620 and 81627. First we will calculate the prime factors of 81620 and 81627.

Prime Factorization of 81620

Prime factors of 81620 are 2, 5, 7, 11, 53. Prime factorization of 81620 in exponential form is:

81620 = 22 × 51 × 71 × 111 × 531

Prime Factorization of 81627

Prime factors of 81627 are 3, 7, 13, 23. Prime factorization of 81627 in exponential form is:

81627 = 31 × 71 × 132 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 81620 and 81627.

LCM(81620,81627) = 22 × 51 × 71 × 111 × 531 × 31 × 132 × 231
LCM(81620,81627) = 951770820