What is the Least Common Multiple of 27686 and 27706?
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 27686 and 27706 is 383534158.
LCM(27686,27706) = 383534158
Least Common Multiple of 27686 and 27706 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27686 and 27706, than apply into the LCM equation.
GCF(27686,27706) = 2
LCM(27686,27706) = ( 27686 × 27706) / 2
LCM(27686,27706) = 767068316 / 2
LCM(27686,27706) = 383534158
Least Common Multiple (LCM) of 27686 and 27706 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27686 and 27706. First we will calculate the prime factors of 27686 and 27706.
Prime Factorization of 27686
Prime factors of 27686 are 2, 109, 127. Prime factorization of 27686 in exponential form is:
27686 = 21 × 1091 × 1271
Prime Factorization of 27706
Prime factors of 27706 are 2, 7, 1979. Prime factorization of 27706 in exponential form is:
27706 = 21 × 71 × 19791
Now multiplying the highest exponent prime factors to calculate the LCM of 27686 and 27706.
LCM(27686,27706) = 21 × 1091 × 1271 × 71 × 19791
LCM(27686,27706) = 383534158
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