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What is the Least Common Multiple of 81770 and 81774?

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 81770 and 81774 is 3343329990.

LCM(81770,81774) = 3343329990

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Least Common Multiple of 81770 and 81774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81770 and 81774, than apply into the LCM equation.

GCF(81770,81774) = 2
LCM(81770,81774) = ( 81770 × 81774) / 2
LCM(81770,81774) = 6686659980 / 2
LCM(81770,81774) = 3343329990

Least Common Multiple (LCM) of 81770 and 81774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81770 and 81774. First we will calculate the prime factors of 81770 and 81774.

Prime Factorization of 81770

Prime factors of 81770 are 2, 5, 13, 17, 37. Prime factorization of 81770 in exponential form is:

81770 = 21 × 51 × 131 × 171 × 371

Prime Factorization of 81774

Prime factors of 81774 are 2, 3, 7, 11, 59. Prime factorization of 81774 in exponential form is:

81774 = 21 × 32 × 71 × 111 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 81770 and 81774.

LCM(81770,81774) = 21 × 51 × 131 × 171 × 371 × 32 × 71 × 111 × 591
LCM(81770,81774) = 3343329990

Related Least Common Multiples of 81770

Related Least Common Multiples of 81774