What is the Least Common Multiple of 13613 and 13620?
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 13613 and 13620 is 185409060.
LCM(13613,13620) = 185409060
Least Common Multiple of 13613 and 13620 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13613 and 13620, than apply into the LCM equation.
GCF(13613,13620) = 1
LCM(13613,13620) = ( 13613 × 13620) / 1
LCM(13613,13620) = 185409060 / 1
LCM(13613,13620) = 185409060
Least Common Multiple (LCM) of 13613 and 13620 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13613 and 13620. First we will calculate the prime factors of 13613 and 13620.
Prime Factorization of 13613
Prime factors of 13613 are 13613. Prime factorization of 13613 in exponential form is:
13613 = 136131
Prime Factorization of 13620
Prime factors of 13620 are 2, 3, 5, 227. Prime factorization of 13620 in exponential form is:
13620 = 22 × 31 × 51 × 2271
Now multiplying the highest exponent prime factors to calculate the LCM of 13613 and 13620.
LCM(13613,13620) = 136131 × 22 × 31 × 51 × 2271
LCM(13613,13620) = 185409060
Related Least Common Multiples of 13613
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Related Least Common Multiples of 13620
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