What is the Least Common Multiple of 26477 and 26482?
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 26477 and 26482 is 701163914.
LCM(26477,26482) = 701163914
Least Common Multiple of 26477 and 26482 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26477 and 26482, than apply into the LCM equation.
GCF(26477,26482) = 1
LCM(26477,26482) = ( 26477 × 26482) / 1
LCM(26477,26482) = 701163914 / 1
LCM(26477,26482) = 701163914
Least Common Multiple (LCM) of 26477 and 26482 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26477 and 26482. First we will calculate the prime factors of 26477 and 26482.
Prime Factorization of 26477
Prime factors of 26477 are 11, 29, 83. Prime factorization of 26477 in exponential form is:
26477 = 111 × 291 × 831
Prime Factorization of 26482
Prime factors of 26482 are 2, 13241. Prime factorization of 26482 in exponential form is:
26482 = 21 × 132411
Now multiplying the highest exponent prime factors to calculate the LCM of 26477 and 26482.
LCM(26477,26482) = 111 × 291 × 831 × 21 × 132411
LCM(26477,26482) = 701163914
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