What is the Least Common Multiple of 17771 and 17782?
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 17771 and 17782 is 316003922.
LCM(17771,17782) = 316003922
Least Common Multiple of 17771 and 17782 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17771 and 17782, than apply into the LCM equation.
GCF(17771,17782) = 1
LCM(17771,17782) = ( 17771 × 17782) / 1
LCM(17771,17782) = 316003922 / 1
LCM(17771,17782) = 316003922
Least Common Multiple (LCM) of 17771 and 17782 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17771 and 17782. First we will calculate the prime factors of 17771 and 17782.
Prime Factorization of 17771
Prime factors of 17771 are 13, 1367. Prime factorization of 17771 in exponential form is:
17771 = 131 × 13671
Prime Factorization of 17782
Prime factors of 17782 are 2, 17, 523. Prime factorization of 17782 in exponential form is:
17782 = 21 × 171 × 5231
Now multiplying the highest exponent prime factors to calculate the LCM of 17771 and 17782.
LCM(17771,17782) = 131 × 13671 × 21 × 171 × 5231
LCM(17771,17782) = 316003922
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