What is the Least Common Multiple of 13694 and 13701?
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 13694 and 13701 is 187621494.
LCM(13694,13701) = 187621494
Least Common Multiple of 13694 and 13701 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13694 and 13701, than apply into the LCM equation.
GCF(13694,13701) = 1
LCM(13694,13701) = ( 13694 × 13701) / 1
LCM(13694,13701) = 187621494 / 1
LCM(13694,13701) = 187621494
Least Common Multiple (LCM) of 13694 and 13701 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13694 and 13701. First we will calculate the prime factors of 13694 and 13701.
Prime Factorization of 13694
Prime factors of 13694 are 2, 41, 167. Prime factorization of 13694 in exponential form is:
13694 = 21 × 411 × 1671
Prime Factorization of 13701
Prime factors of 13701 are 3, 4567. Prime factorization of 13701 in exponential form is:
13701 = 31 × 45671
Now multiplying the highest exponent prime factors to calculate the LCM of 13694 and 13701.
LCM(13694,13701) = 21 × 411 × 1671 × 31 × 45671
LCM(13694,13701) = 187621494
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