What is the Least Common Multiple of 13708 and 13721?
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 13708 and 13721 is 188087468.
LCM(13708,13721) = 188087468
Least Common Multiple of 13708 and 13721 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13708 and 13721, than apply into the LCM equation.
GCF(13708,13721) = 1
LCM(13708,13721) = ( 13708 × 13721) / 1
LCM(13708,13721) = 188087468 / 1
LCM(13708,13721) = 188087468
Least Common Multiple (LCM) of 13708 and 13721 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13708 and 13721. First we will calculate the prime factors of 13708 and 13721.
Prime Factorization of 13708
Prime factors of 13708 are 2, 23, 149. Prime factorization of 13708 in exponential form is:
13708 = 22 × 231 × 1491
Prime Factorization of 13721
Prime factors of 13721 are 13721. Prime factorization of 13721 in exponential form is:
13721 = 137211
Now multiplying the highest exponent prime factors to calculate the LCM of 13708 and 13721.
LCM(13708,13721) = 22 × 231 × 1491 × 137211
LCM(13708,13721) = 188087468
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