What is the Least Common Multiple of 81311 and 81316?
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 81311 and 81316 is 6611885276.
LCM(81311,81316) = 6611885276
Least Common Multiple of 81311 and 81316 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81311 and 81316, than apply into the LCM equation.
GCF(81311,81316) = 1
LCM(81311,81316) = ( 81311 × 81316) / 1
LCM(81311,81316) = 6611885276 / 1
LCM(81311,81316) = 6611885276
Least Common Multiple (LCM) of 81311 and 81316 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81311 and 81316. First we will calculate the prime factors of 81311 and 81316.
Prime Factorization of 81311
Prime factors of 81311 are 17, 4783. Prime factorization of 81311 in exponential form is:
81311 = 171 × 47831
Prime Factorization of 81316
Prime factors of 81316 are 2, 29, 701. Prime factorization of 81316 in exponential form is:
81316 = 22 × 291 × 7011
Now multiplying the highest exponent prime factors to calculate the LCM of 81311 and 81316.
LCM(81311,81316) = 171 × 47831 × 22 × 291 × 7011
LCM(81311,81316) = 6611885276
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