What is the Least Common Multiple of 13695 and 13703?
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 13695 and 13703 is 187662585.
LCM(13695,13703) = 187662585
Least Common Multiple of 13695 and 13703 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13695 and 13703, than apply into the LCM equation.
GCF(13695,13703) = 1
LCM(13695,13703) = ( 13695 × 13703) / 1
LCM(13695,13703) = 187662585 / 1
LCM(13695,13703) = 187662585
Least Common Multiple (LCM) of 13695 and 13703 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13695 and 13703. First we will calculate the prime factors of 13695 and 13703.
Prime Factorization of 13695
Prime factors of 13695 are 3, 5, 11, 83. Prime factorization of 13695 in exponential form is:
13695 = 31 × 51 × 111 × 831
Prime Factorization of 13703
Prime factors of 13703 are 71, 193. Prime factorization of 13703 in exponential form is:
13703 = 711 × 1931
Now multiplying the highest exponent prime factors to calculate the LCM of 13695 and 13703.
LCM(13695,13703) = 31 × 51 × 111 × 831 × 711 × 1931
LCM(13695,13703) = 187662585
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