What is the Least Common Multiple of 26481 and 26485?
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 26481 and 26485 is 701349285.
LCM(26481,26485) = 701349285
Least Common Multiple of 26481 and 26485 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26481 and 26485, than apply into the LCM equation.
GCF(26481,26485) = 1
LCM(26481,26485) = ( 26481 × 26485) / 1
LCM(26481,26485) = 701349285 / 1
LCM(26481,26485) = 701349285
Least Common Multiple (LCM) of 26481 and 26485 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26481 and 26485. First we will calculate the prime factors of 26481 and 26485.
Prime Factorization of 26481
Prime factors of 26481 are 3, 7, 13, 97. Prime factorization of 26481 in exponential form is:
26481 = 31 × 71 × 131 × 971
Prime Factorization of 26485
Prime factors of 26485 are 5, 5297. Prime factorization of 26485 in exponential form is:
26485 = 51 × 52971
Now multiplying the highest exponent prime factors to calculate the LCM of 26481 and 26485.
LCM(26481,26485) = 31 × 71 × 131 × 971 × 51 × 52971
LCM(26481,26485) = 701349285
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