What is the Least Common Multiple of 26477 and 26486?
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 26486 is 701269822.
LCM(26477,26486) = 701269822
Least Common Multiple of 26477 and 26486 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 26486, than apply into the LCM equation.
GCF(26477,26486) = 1
LCM(26477,26486) = ( 26477 × 26486) / 1
LCM(26477,26486) = 701269822 / 1
LCM(26477,26486) = 701269822
Least Common Multiple (LCM) of 26477 and 26486 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26477 and 26486. First we will calculate the prime factors of 26477 and 26486.
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 26486
Prime factors of 26486 are 2, 17, 19, 41. Prime factorization of 26486 in exponential form is:
26486 = 21 × 171 × 191 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 26477 and 26486.
LCM(26477,26486) = 111 × 291 × 831 × 21 × 171 × 191 × 411
LCM(26477,26486) = 701269822
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