What is the Least Common Multiple of 26529 and 26545?
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 26529 and 26545 is 704212305.
LCM(26529,26545) = 704212305
Least Common Multiple of 26529 and 26545 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26529 and 26545, than apply into the LCM equation.
GCF(26529,26545) = 1
LCM(26529,26545) = ( 26529 × 26545) / 1
LCM(26529,26545) = 704212305 / 1
LCM(26529,26545) = 704212305
Least Common Multiple (LCM) of 26529 and 26545 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26529 and 26545. First we will calculate the prime factors of 26529 and 26545.
Prime Factorization of 26529
Prime factors of 26529 are 3, 37, 239. Prime factorization of 26529 in exponential form is:
26529 = 31 × 371 × 2391
Prime Factorization of 26545
Prime factors of 26545 are 5, 5309. Prime factorization of 26545 in exponential form is:
26545 = 51 × 53091
Now multiplying the highest exponent prime factors to calculate the LCM of 26529 and 26545.
LCM(26529,26545) = 31 × 371 × 2391 × 51 × 53091
LCM(26529,26545) = 704212305
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