What is the Least Common Multiple of 26468 and 26473?
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 26473 is 700687364.
LCM(26468,26473) = 700687364
Least Common Multiple of 26468 and 26473 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 26473, than apply into the LCM equation.
GCF(26468,26473) = 1
LCM(26468,26473) = ( 26468 × 26473) / 1
LCM(26468,26473) = 700687364 / 1
LCM(26468,26473) = 700687364
Least Common Multiple (LCM) of 26468 and 26473 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26468 and 26473. First we will calculate the prime factors of 26468 and 26473.
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 26473
Prime factors of 26473 are 23, 1151. Prime factorization of 26473 in exponential form is:
26473 = 231 × 11511
Now multiplying the highest exponent prime factors to calculate the LCM of 26468 and 26473.
LCM(26468,26473) = 22 × 131 × 5091 × 231 × 11511
LCM(26468,26473) = 700687364
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