What is the Least Common Multiple of 13706 and 13715?
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 13706 and 13715 is 187977790.
LCM(13706,13715) = 187977790
Least Common Multiple of 13706 and 13715 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13706 and 13715, than apply into the LCM equation.
GCF(13706,13715) = 1
LCM(13706,13715) = ( 13706 × 13715) / 1
LCM(13706,13715) = 187977790 / 1
LCM(13706,13715) = 187977790
Least Common Multiple (LCM) of 13706 and 13715 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13706 and 13715. First we will calculate the prime factors of 13706 and 13715.
Prime Factorization of 13706
Prime factors of 13706 are 2, 7, 11, 89. Prime factorization of 13706 in exponential form is:
13706 = 21 × 71 × 111 × 891
Prime Factorization of 13715
Prime factors of 13715 are 5, 13, 211. Prime factorization of 13715 in exponential form is:
13715 = 51 × 131 × 2111
Now multiplying the highest exponent prime factors to calculate the LCM of 13706 and 13715.
LCM(13706,13715) = 21 × 71 × 111 × 891 × 51 × 131 × 2111
LCM(13706,13715) = 187977790
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