What is the Least Common Multiple of 26549 and 26565?
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 26549 and 26565 is 705274185.
LCM(26549,26565) = 705274185
Least Common Multiple of 26549 and 26565 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26549 and 26565, than apply into the LCM equation.
GCF(26549,26565) = 1
LCM(26549,26565) = ( 26549 × 26565) / 1
LCM(26549,26565) = 705274185 / 1
LCM(26549,26565) = 705274185
Least Common Multiple (LCM) of 26549 and 26565 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26549 and 26565. First we will calculate the prime factors of 26549 and 26565.
Prime Factorization of 26549
Prime factors of 26549 are 139, 191. Prime factorization of 26549 in exponential form is:
26549 = 1391 × 1911
Prime Factorization of 26565
Prime factors of 26565 are 3, 5, 7, 11, 23. Prime factorization of 26565 in exponential form is:
26565 = 31 × 51 × 71 × 111 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 26549 and 26565.
LCM(26549,26565) = 1391 × 1911 × 31 × 51 × 71 × 111 × 231
LCM(26549,26565) = 705274185
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