What is the Least Common Multiple of 13676 and 13685?
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 13676 and 13685 is 187156060.
LCM(13676,13685) = 187156060
Least Common Multiple of 13676 and 13685 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13676 and 13685, than apply into the LCM equation.
GCF(13676,13685) = 1
LCM(13676,13685) = ( 13676 × 13685) / 1
LCM(13676,13685) = 187156060 / 1
LCM(13676,13685) = 187156060
Least Common Multiple (LCM) of 13676 and 13685 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13676 and 13685. First we will calculate the prime factors of 13676 and 13685.
Prime Factorization of 13676
Prime factors of 13676 are 2, 13, 263. Prime factorization of 13676 in exponential form is:
13676 = 22 × 131 × 2631
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
Now multiplying the highest exponent prime factors to calculate the LCM of 13676 and 13685.
LCM(13676,13685) = 22 × 131 × 2631 × 51 × 71 × 171 × 231
LCM(13676,13685) = 187156060
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Related Least Common Multiples of 13685
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