What is the Least Common Multiple of 13620 and 13640?
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 13620 and 13640 is 9288840.
LCM(13620,13640) = 9288840
Least Common Multiple of 13620 and 13640 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13620 and 13640, than apply into the LCM equation.
GCF(13620,13640) = 20
LCM(13620,13640) = ( 13620 × 13640) / 20
LCM(13620,13640) = 185776800 / 20
LCM(13620,13640) = 9288840
Least Common Multiple (LCM) of 13620 and 13640 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13620 and 13640. First we will calculate the prime factors of 13620 and 13640.
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
Prime Factorization of 13640
Prime factors of 13640 are 2, 5, 11, 31. Prime factorization of 13640 in exponential form is:
13640 = 23 × 51 × 111 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 13620 and 13640.
LCM(13620,13640) = 23 × 31 × 51 × 2271 × 111 × 311
LCM(13620,13640) = 9288840
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