What is the Least Common Multiple of 682 and 686?
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 682 and 686 is 233926.
LCM(682,686) = 233926
Least Common Multiple of 682 and 686 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 682 and 686, than apply into the LCM equation.
GCF(682,686) = 2
LCM(682,686) = ( 682 × 686) / 2
LCM(682,686) = 467852 / 2
LCM(682,686) = 233926
Least Common Multiple (LCM) of 682 and 686 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 682 and 686. First we will calculate the prime factors of 682 and 686.
Prime Factorization of 682
Prime factors of 682 are 2, 11, 31. Prime factorization of 682 in exponential form is:
682 = 21 × 111 × 311
Prime Factorization of 686
Prime factors of 686 are 2, 7. Prime factorization of 686 in exponential form is:
686 = 21 × 73
Now multiplying the highest exponent prime factors to calculate the LCM of 682 and 686.
LCM(682,686) = 21 × 111 × 311 × 73
LCM(682,686) = 233926
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