What is the Least Common Multiple of 26551 and 26559?
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 26551 and 26559 is 705168009.
LCM(26551,26559) = 705168009
Least Common Multiple of 26551 and 26559 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26551 and 26559, than apply into the LCM equation.
GCF(26551,26559) = 1
LCM(26551,26559) = ( 26551 × 26559) / 1
LCM(26551,26559) = 705168009 / 1
LCM(26551,26559) = 705168009
Least Common Multiple (LCM) of 26551 and 26559 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26551 and 26559. First we will calculate the prime factors of 26551 and 26559.
Prime Factorization of 26551
Prime factors of 26551 are 7, 3793. Prime factorization of 26551 in exponential form is:
26551 = 71 × 37931
Prime Factorization of 26559
Prime factors of 26559 are 3, 13, 227. Prime factorization of 26559 in exponential form is:
26559 = 32 × 131 × 2271
Now multiplying the highest exponent prime factors to calculate the LCM of 26551 and 26559.
LCM(26551,26559) = 71 × 37931 × 32 × 131 × 2271
LCM(26551,26559) = 705168009
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