What is the Least Common Multiple of 81781 and 81787?
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 81781 and 81787 is 6688622647.
LCM(81781,81787) = 6688622647
Least Common Multiple of 81781 and 81787 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81781 and 81787, than apply into the LCM equation.
GCF(81781,81787) = 1
LCM(81781,81787) = ( 81781 × 81787) / 1
LCM(81781,81787) = 6688622647 / 1
LCM(81781,81787) = 6688622647
Least Common Multiple (LCM) of 81781 and 81787 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81781 and 81787. First we will calculate the prime factors of 81781 and 81787.
Prime Factorization of 81781
Prime factors of 81781 are 7, 1669. Prime factorization of 81781 in exponential form is:
81781 = 72 × 16691
Prime Factorization of 81787
Prime factors of 81787 are 17, 283. Prime factorization of 81787 in exponential form is:
81787 = 172 × 2831
Now multiplying the highest exponent prime factors to calculate the LCM of 81781 and 81787.
LCM(81781,81787) = 72 × 16691 × 172 × 2831
LCM(81781,81787) = 6688622647
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