What is the Least Common Multiple of 689 and 709?
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 689 and 709 is 488501.
LCM(689,709) = 488501
Least Common Multiple of 689 and 709 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 689 and 709, than apply into the LCM equation.
GCF(689,709) = 1
LCM(689,709) = ( 689 × 709) / 1
LCM(689,709) = 488501 / 1
LCM(689,709) = 488501
Least Common Multiple (LCM) of 689 and 709 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 689 and 709. First we will calculate the prime factors of 689 and 709.
Prime Factorization of 689
Prime factors of 689 are 13, 53. Prime factorization of 689 in exponential form is:
689 = 131 × 531
Prime Factorization of 709
Prime factors of 709 are 709. Prime factorization of 709 in exponential form is:
709 = 7091
Now multiplying the highest exponent prime factors to calculate the LCM of 689 and 709.
LCM(689,709) = 131 × 531 × 7091
LCM(689,709) = 488501
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