What is the Least Common Multiple of 13625 and 13645?
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 13625 and 13645 is 37182625.
LCM(13625,13645) = 37182625
Least Common Multiple of 13625 and 13645 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13625 and 13645, than apply into the LCM equation.
GCF(13625,13645) = 5
LCM(13625,13645) = ( 13625 × 13645) / 5
LCM(13625,13645) = 185913125 / 5
LCM(13625,13645) = 37182625
Least Common Multiple (LCM) of 13625 and 13645 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13625 and 13645. First we will calculate the prime factors of 13625 and 13645.
Prime Factorization of 13625
Prime factors of 13625 are 5, 109. Prime factorization of 13625 in exponential form is:
13625 = 53 × 1091
Prime Factorization of 13645
Prime factors of 13645 are 5, 2729. Prime factorization of 13645 in exponential form is:
13645 = 51 × 27291
Now multiplying the highest exponent prime factors to calculate the LCM of 13625 and 13645.
LCM(13625,13645) = 53 × 1091 × 27291
LCM(13625,13645) = 37182625
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