What is the Least Common Multiple of 13685 and 13692?
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 13685 and 13692 is 26767860.
LCM(13685,13692) = 26767860
Least Common Multiple of 13685 and 13692 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13685 and 13692, than apply into the LCM equation.
GCF(13685,13692) = 7
LCM(13685,13692) = ( 13685 × 13692) / 7
LCM(13685,13692) = 187375020 / 7
LCM(13685,13692) = 26767860
Least Common Multiple (LCM) of 13685 and 13692 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13685 and 13692. First we will calculate the prime factors of 13685 and 13692.
Prime Factorization of 13685
Prime factors of 13685 are 5, 7, 17, 23. Prime factorization of 13685 in exponential form is:
13685 = 51 × 71 × 171 × 231
Prime Factorization of 13692
Prime factors of 13692 are 2, 3, 7, 163. Prime factorization of 13692 in exponential form is:
13692 = 22 × 31 × 71 × 1631
Now multiplying the highest exponent prime factors to calculate the LCM of 13685 and 13692.
LCM(13685,13692) = 51 × 71 × 171 × 231 × 22 × 31 × 1631
LCM(13685,13692) = 26767860
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