What is the Least Common Multiple of 13619 and 13628?
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 13619 and 13628 is 185599732.
LCM(13619,13628) = 185599732
Least Common Multiple of 13619 and 13628 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13619 and 13628, than apply into the LCM equation.
GCF(13619,13628) = 1
LCM(13619,13628) = ( 13619 × 13628) / 1
LCM(13619,13628) = 185599732 / 1
LCM(13619,13628) = 185599732
Least Common Multiple (LCM) of 13619 and 13628 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13619 and 13628. First we will calculate the prime factors of 13619 and 13628.
Prime Factorization of 13619
Prime factors of 13619 are 13619. Prime factorization of 13619 in exponential form is:
13619 = 136191
Prime Factorization of 13628
Prime factors of 13628 are 2, 3407. Prime factorization of 13628 in exponential form is:
13628 = 22 × 34071
Now multiplying the highest exponent prime factors to calculate the LCM of 13619 and 13628.
LCM(13619,13628) = 136191 × 22 × 34071
LCM(13619,13628) = 185599732
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