What is the Least Common Multiple of 26476 and 26495?
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 26476 and 26495 is 701481620.
LCM(26476,26495) = 701481620
Least Common Multiple of 26476 and 26495 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26476 and 26495, than apply into the LCM equation.
GCF(26476,26495) = 1
LCM(26476,26495) = ( 26476 × 26495) / 1
LCM(26476,26495) = 701481620 / 1
LCM(26476,26495) = 701481620
Least Common Multiple (LCM) of 26476 and 26495 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26476 and 26495. First we will calculate the prime factors of 26476 and 26495.
Prime Factorization of 26476
Prime factors of 26476 are 2, 6619. Prime factorization of 26476 in exponential form is:
26476 = 22 × 66191
Prime Factorization of 26495
Prime factors of 26495 are 5, 7, 757. Prime factorization of 26495 in exponential form is:
26495 = 51 × 71 × 7571
Now multiplying the highest exponent prime factors to calculate the LCM of 26476 and 26495.
LCM(26476,26495) = 22 × 66191 × 51 × 71 × 7571
LCM(26476,26495) = 701481620
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