What is the Least Common Multiple of 26468 and 26483?
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 26468 and 26483 is 700952044.
LCM(26468,26483) = 700952044
Least Common Multiple of 26468 and 26483 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26468 and 26483, than apply into the LCM equation.
GCF(26468,26483) = 1
LCM(26468,26483) = ( 26468 × 26483) / 1
LCM(26468,26483) = 700952044 / 1
LCM(26468,26483) = 700952044
Least Common Multiple (LCM) of 26468 and 26483 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26468 and 26483. First we will calculate the prime factors of 26468 and 26483.
Prime Factorization of 26468
Prime factors of 26468 are 2, 13, 509. Prime factorization of 26468 in exponential form is:
26468 = 22 × 131 × 5091
Prime Factorization of 26483
Prime factors of 26483 are 71, 373. Prime factorization of 26483 in exponential form is:
26483 = 711 × 3731
Now multiplying the highest exponent prime factors to calculate the LCM of 26468 and 26483.
LCM(26468,26483) = 22 × 131 × 5091 × 711 × 3731
LCM(26468,26483) = 700952044
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