What is the Least Common Multiple of 26418 and 26426?
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 26418 and 26426 is 349061034.
LCM(26418,26426) = 349061034
Least Common Multiple of 26418 and 26426 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26418 and 26426, than apply into the LCM equation.
GCF(26418,26426) = 2
LCM(26418,26426) = ( 26418 × 26426) / 2
LCM(26418,26426) = 698122068 / 2
LCM(26418,26426) = 349061034
Least Common Multiple (LCM) of 26418 and 26426 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26418 and 26426. First we will calculate the prime factors of 26418 and 26426.
Prime Factorization of 26418
Prime factors of 26418 are 2, 3, 7, 17, 37. Prime factorization of 26418 in exponential form is:
26418 = 21 × 31 × 71 × 171 × 371
Prime Factorization of 26426
Prime factors of 26426 are 2, 73, 181. Prime factorization of 26426 in exponential form is:
26426 = 21 × 731 × 1811
Now multiplying the highest exponent prime factors to calculate the LCM of 26418 and 26426.
LCM(26418,26426) = 21 × 31 × 71 × 171 × 371 × 731 × 1811
LCM(26418,26426) = 349061034
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