What is the Least Common Multiple of 26062 and 26066?
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 26062 and 26066 is 339666046.
LCM(26062,26066) = 339666046
Least Common Multiple of 26062 and 26066 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26062 and 26066, than apply into the LCM equation.
GCF(26062,26066) = 2
LCM(26062,26066) = ( 26062 × 26066) / 2
LCM(26062,26066) = 679332092 / 2
LCM(26062,26066) = 339666046
Least Common Multiple (LCM) of 26062 and 26066 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26062 and 26066. First we will calculate the prime factors of 26062 and 26066.
Prime Factorization of 26062
Prime factors of 26062 are 2, 83, 157. Prime factorization of 26062 in exponential form is:
26062 = 21 × 831 × 1571
Prime Factorization of 26066
Prime factors of 26066 are 2, 13033. Prime factorization of 26066 in exponential form is:
26066 = 21 × 130331
Now multiplying the highest exponent prime factors to calculate the LCM of 26062 and 26066.
LCM(26062,26066) = 21 × 831 × 1571 × 130331
LCM(26062,26066) = 339666046
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