What is the Least Common Multiple of 81277 and 81287?
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 81277 and 81287 is 6606763499.
LCM(81277,81287) = 6606763499
Least Common Multiple of 81277 and 81287 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81277 and 81287, than apply into the LCM equation.
GCF(81277,81287) = 1
LCM(81277,81287) = ( 81277 × 81287) / 1
LCM(81277,81287) = 6606763499 / 1
LCM(81277,81287) = 6606763499
Least Common Multiple (LCM) of 81277 and 81287 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81277 and 81287. First we will calculate the prime factors of 81277 and 81287.
Prime Factorization of 81277
Prime factors of 81277 are 7, 17, 683. Prime factorization of 81277 in exponential form is:
81277 = 71 × 171 × 6831
Prime Factorization of 81287
Prime factors of 81287 are 29, 2803. Prime factorization of 81287 in exponential form is:
81287 = 291 × 28031
Now multiplying the highest exponent prime factors to calculate the LCM of 81277 and 81287.
LCM(81277,81287) = 71 × 171 × 6831 × 291 × 28031
LCM(81277,81287) = 6606763499
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