What is the Least Common Multiple of 13700 and 13711?
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 13700 and 13711 is 187840700.
LCM(13700,13711) = 187840700
Least Common Multiple of 13700 and 13711 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13700 and 13711, than apply into the LCM equation.
GCF(13700,13711) = 1
LCM(13700,13711) = ( 13700 × 13711) / 1
LCM(13700,13711) = 187840700 / 1
LCM(13700,13711) = 187840700
Least Common Multiple (LCM) of 13700 and 13711 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13700 and 13711. First we will calculate the prime factors of 13700 and 13711.
Prime Factorization of 13700
Prime factors of 13700 are 2, 5, 137. Prime factorization of 13700 in exponential form is:
13700 = 22 × 52 × 1371
Prime Factorization of 13711
Prime factors of 13711 are 13711. Prime factorization of 13711 in exponential form is:
13711 = 137111
Now multiplying the highest exponent prime factors to calculate the LCM of 13700 and 13711.
LCM(13700,13711) = 22 × 52 × 1371 × 137111
LCM(13700,13711) = 187840700
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