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What is the Least Common Multiple of 81463 and 81476?

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 81463 and 81476 is 6637279388.

LCM(81463,81476) = 6637279388

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Least Common Multiple of 81463 and 81476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81463 and 81476, than apply into the LCM equation.

GCF(81463,81476) = 1
LCM(81463,81476) = ( 81463 × 81476) / 1
LCM(81463,81476) = 6637279388 / 1
LCM(81463,81476) = 6637279388

Least Common Multiple (LCM) of 81463 and 81476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81463 and 81476. First we will calculate the prime factors of 81463 and 81476.

Prime Factorization of 81463

Prime factors of 81463 are 81463. Prime factorization of 81463 in exponential form is:

81463 = 814631

Prime Factorization of 81476

Prime factors of 81476 are 2, 20369. Prime factorization of 81476 in exponential form is:

81476 = 22 × 203691

Now multiplying the highest exponent prime factors to calculate the LCM of 81463 and 81476.

LCM(81463,81476) = 814631 × 22 × 203691
LCM(81463,81476) = 6637279388