What is the Least Common Multiple of 26066 and 26077?
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 26066 and 26077 is 679723082.
LCM(26066,26077) = 679723082
Least Common Multiple of 26066 and 26077 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26066 and 26077, than apply into the LCM equation.
GCF(26066,26077) = 1
LCM(26066,26077) = ( 26066 × 26077) / 1
LCM(26066,26077) = 679723082 / 1
LCM(26066,26077) = 679723082
Least Common Multiple (LCM) of 26066 and 26077 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26066 and 26077. First we will calculate the prime factors of 26066 and 26077.
Prime Factorization of 26066
Prime factors of 26066 are 2, 13033. Prime factorization of 26066 in exponential form is:
26066 = 21 × 130331
Prime Factorization of 26077
Prime factors of 26077 are 89, 293. Prime factorization of 26077 in exponential form is:
26077 = 891 × 2931
Now multiplying the highest exponent prime factors to calculate the LCM of 26066 and 26077.
LCM(26066,26077) = 21 × 130331 × 891 × 2931
LCM(26066,26077) = 679723082
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