What is the Least Common Multiple of 13610 and 13617?
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 13610 and 13617 is 185327370.
LCM(13610,13617) = 185327370
Least Common Multiple of 13610 and 13617 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13610 and 13617, than apply into the LCM equation.
GCF(13610,13617) = 1
LCM(13610,13617) = ( 13610 × 13617) / 1
LCM(13610,13617) = 185327370 / 1
LCM(13610,13617) = 185327370
Least Common Multiple (LCM) of 13610 and 13617 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13610 and 13617. First we will calculate the prime factors of 13610 and 13617.
Prime Factorization of 13610
Prime factors of 13610 are 2, 5, 1361. Prime factorization of 13610 in exponential form is:
13610 = 21 × 51 × 13611
Prime Factorization of 13617
Prime factors of 13617 are 3, 17, 89. Prime factorization of 13617 in exponential form is:
13617 = 32 × 171 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 13610 and 13617.
LCM(13610,13617) = 21 × 51 × 13611 × 32 × 171 × 891
LCM(13610,13617) = 185327370
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