What is the Least Common Multiple of 13701 and 13712?
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 13701 and 13712 is 187868112.
LCM(13701,13712) = 187868112
Least Common Multiple of 13701 and 13712 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13701 and 13712, than apply into the LCM equation.
GCF(13701,13712) = 1
LCM(13701,13712) = ( 13701 × 13712) / 1
LCM(13701,13712) = 187868112 / 1
LCM(13701,13712) = 187868112
Least Common Multiple (LCM) of 13701 and 13712 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13701 and 13712. First we will calculate the prime factors of 13701 and 13712.
Prime Factorization of 13701
Prime factors of 13701 are 3, 4567. Prime factorization of 13701 in exponential form is:
13701 = 31 × 45671
Prime Factorization of 13712
Prime factors of 13712 are 2, 857. Prime factorization of 13712 in exponential form is:
13712 = 24 × 8571
Now multiplying the highest exponent prime factors to calculate the LCM of 13701 and 13712.
LCM(13701,13712) = 31 × 45671 × 24 × 8571
LCM(13701,13712) = 187868112
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