What is the Least Common Multiple of 13611 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 13611 and 13617 is 61780329.
LCM(13611,13617) = 61780329
Least Common Multiple of 13611 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 13611 and 13617, than apply into the LCM equation.
GCF(13611,13617) = 3
LCM(13611,13617) = ( 13611 × 13617) / 3
LCM(13611,13617) = 185340987 / 3
LCM(13611,13617) = 61780329
Least Common Multiple (LCM) of 13611 and 13617 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13611 and 13617. First we will calculate the prime factors of 13611 and 13617.
Prime Factorization of 13611
Prime factors of 13611 are 3, 13, 349. Prime factorization of 13611 in exponential form is:
13611 = 31 × 131 × 3491
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 13611 and 13617.
LCM(13611,13617) = 32 × 131 × 3491 × 171 × 891
LCM(13611,13617) = 61780329
Related Least Common Multiples of 13611
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Related Least Common Multiples of 13617
- LCM of 13617 and 13621
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