What is the Least Common Multiple of 13724 and 13739?
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 13724 and 13739 is 188554036.
LCM(13724,13739) = 188554036
Least Common Multiple of 13724 and 13739 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13724 and 13739, than apply into the LCM equation.
GCF(13724,13739) = 1
LCM(13724,13739) = ( 13724 × 13739) / 1
LCM(13724,13739) = 188554036 / 1
LCM(13724,13739) = 188554036
Least Common Multiple (LCM) of 13724 and 13739 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13724 and 13739. First we will calculate the prime factors of 13724 and 13739.
Prime Factorization of 13724
Prime factors of 13724 are 2, 47, 73. Prime factorization of 13724 in exponential form is:
13724 = 22 × 471 × 731
Prime Factorization of 13739
Prime factors of 13739 are 11, 1249. Prime factorization of 13739 in exponential form is:
13739 = 111 × 12491
Now multiplying the highest exponent prime factors to calculate the LCM of 13724 and 13739.
LCM(13724,13739) = 22 × 471 × 731 × 111 × 12491
LCM(13724,13739) = 188554036
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