What is the Least Common Multiple of 26775 and 26779?
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 26775 and 26779 is 717007725.
LCM(26775,26779) = 717007725
Least Common Multiple of 26775 and 26779 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26775 and 26779, than apply into the LCM equation.
GCF(26775,26779) = 1
LCM(26775,26779) = ( 26775 × 26779) / 1
LCM(26775,26779) = 717007725 / 1
LCM(26775,26779) = 717007725
Least Common Multiple (LCM) of 26775 and 26779 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26775 and 26779. First we will calculate the prime factors of 26775 and 26779.
Prime Factorization of 26775
Prime factors of 26775 are 3, 5, 7, 17. Prime factorization of 26775 in exponential form is:
26775 = 32 × 52 × 71 × 171
Prime Factorization of 26779
Prime factors of 26779 are 61, 439. Prime factorization of 26779 in exponential form is:
26779 = 611 × 4391
Now multiplying the highest exponent prime factors to calculate the LCM of 26775 and 26779.
LCM(26775,26779) = 32 × 52 × 71 × 171 × 611 × 4391
LCM(26775,26779) = 717007725
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