What is the Least Common Multiple of 26627 and 26647?
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 26627 and 26647 is 709529669.
LCM(26627,26647) = 709529669
Least Common Multiple of 26627 and 26647 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26627 and 26647, than apply into the LCM equation.
GCF(26627,26647) = 1
LCM(26627,26647) = ( 26627 × 26647) / 1
LCM(26627,26647) = 709529669 / 1
LCM(26627,26647) = 709529669
Least Common Multiple (LCM) of 26627 and 26647 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26627 and 26647. First we will calculate the prime factors of 26627 and 26647.
Prime Factorization of 26627
Prime factors of 26627 are 26627. Prime factorization of 26627 in exponential form is:
26627 = 266271
Prime Factorization of 26647
Prime factors of 26647 are 26647. Prime factorization of 26647 in exponential form is:
26647 = 266471
Now multiplying the highest exponent prime factors to calculate the LCM of 26627 and 26647.
LCM(26627,26647) = 266271 × 266471
LCM(26627,26647) = 709529669
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