What is the Least Common Multiple of 26440 and 26453?
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 26440 and 26453 is 699417320.
LCM(26440,26453) = 699417320
Least Common Multiple of 26440 and 26453 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26440 and 26453, than apply into the LCM equation.
GCF(26440,26453) = 1
LCM(26440,26453) = ( 26440 × 26453) / 1
LCM(26440,26453) = 699417320 / 1
LCM(26440,26453) = 699417320
Least Common Multiple (LCM) of 26440 and 26453 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26440 and 26453. First we will calculate the prime factors of 26440 and 26453.
Prime Factorization of 26440
Prime factors of 26440 are 2, 5, 661. Prime factorization of 26440 in exponential form is:
26440 = 23 × 51 × 6611
Prime Factorization of 26453
Prime factors of 26453 are 7, 3779. Prime factorization of 26453 in exponential form is:
26453 = 71 × 37791
Now multiplying the highest exponent prime factors to calculate the LCM of 26440 and 26453.
LCM(26440,26453) = 23 × 51 × 6611 × 71 × 37791
LCM(26440,26453) = 699417320
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