What is the Least Common Multiple of 26567 and 26577?
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 26567 and 26577 is 706071159.
LCM(26567,26577) = 706071159
Least Common Multiple of 26567 and 26577 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26567 and 26577, than apply into the LCM equation.
GCF(26567,26577) = 1
LCM(26567,26577) = ( 26567 × 26577) / 1
LCM(26567,26577) = 706071159 / 1
LCM(26567,26577) = 706071159
Least Common Multiple (LCM) of 26567 and 26577 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26567 and 26577. First we will calculate the prime factors of 26567 and 26577.
Prime Factorization of 26567
Prime factors of 26567 are 31, 857. Prime factorization of 26567 in exponential form is:
26567 = 311 × 8571
Prime Factorization of 26577
Prime factors of 26577 are 3, 2953. Prime factorization of 26577 in exponential form is:
26577 = 32 × 29531
Now multiplying the highest exponent prime factors to calculate the LCM of 26567 and 26577.
LCM(26567,26577) = 311 × 8571 × 32 × 29531
LCM(26567,26577) = 706071159
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