What is the Least Common Multiple of 28411 and 28426?
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 28411 and 28426 is 807611086.
LCM(28411,28426) = 807611086
Least Common Multiple of 28411 and 28426 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28411 and 28426, than apply into the LCM equation.
GCF(28411,28426) = 1
LCM(28411,28426) = ( 28411 × 28426) / 1
LCM(28411,28426) = 807611086 / 1
LCM(28411,28426) = 807611086
Least Common Multiple (LCM) of 28411 and 28426 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28411 and 28426. First we will calculate the prime factors of 28411 and 28426.
Prime Factorization of 28411
Prime factors of 28411 are 28411. Prime factorization of 28411 in exponential form is:
28411 = 284111
Prime Factorization of 28426
Prime factors of 28426 are 2, 61, 233. Prime factorization of 28426 in exponential form is:
28426 = 21 × 611 × 2331
Now multiplying the highest exponent prime factors to calculate the LCM of 28411 and 28426.
LCM(28411,28426) = 284111 × 21 × 611 × 2331
LCM(28411,28426) = 807611086
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