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What is the Least Common Multiple of 81725 and 81744?

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 81725 and 81744 is 6680528400.

LCM(81725,81744) = 6680528400

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Least Common Multiple of 81725 and 81744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81725 and 81744, than apply into the LCM equation.

GCF(81725,81744) = 1
LCM(81725,81744) = ( 81725 × 81744) / 1
LCM(81725,81744) = 6680528400 / 1
LCM(81725,81744) = 6680528400

Least Common Multiple (LCM) of 81725 and 81744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81725 and 81744. First we will calculate the prime factors of 81725 and 81744.

Prime Factorization of 81725

Prime factors of 81725 are 5, 7, 467. Prime factorization of 81725 in exponential form is:

81725 = 52 × 71 × 4671

Prime Factorization of 81744

Prime factors of 81744 are 2, 3, 13, 131. Prime factorization of 81744 in exponential form is:

81744 = 24 × 31 × 131 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 81725 and 81744.

LCM(81725,81744) = 52 × 71 × 4671 × 24 × 31 × 131 × 1311
LCM(81725,81744) = 6680528400