What is the Least Common Multiple of 26068 and 26081?
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 26068 and 26081 is 679879508.
LCM(26068,26081) = 679879508
Least Common Multiple of 26068 and 26081 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26068 and 26081, than apply into the LCM equation.
GCF(26068,26081) = 1
LCM(26068,26081) = ( 26068 × 26081) / 1
LCM(26068,26081) = 679879508 / 1
LCM(26068,26081) = 679879508
Least Common Multiple (LCM) of 26068 and 26081 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26068 and 26081. First we will calculate the prime factors of 26068 and 26081.
Prime Factorization of 26068
Prime factors of 26068 are 2, 7, 19. Prime factorization of 26068 in exponential form is:
26068 = 22 × 73 × 191
Prime Factorization of 26081
Prime factors of 26081 are 11, 2371. Prime factorization of 26081 in exponential form is:
26081 = 111 × 23711
Now multiplying the highest exponent prime factors to calculate the LCM of 26068 and 26081.
LCM(26068,26081) = 22 × 73 × 191 × 111 × 23711
LCM(26068,26081) = 679879508
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