What is the Least Common Multiple of 26122 and 26131?
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 26122 and 26131 is 682593982.
LCM(26122,26131) = 682593982
Least Common Multiple of 26122 and 26131 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26122 and 26131, than apply into the LCM equation.
GCF(26122,26131) = 1
LCM(26122,26131) = ( 26122 × 26131) / 1
LCM(26122,26131) = 682593982 / 1
LCM(26122,26131) = 682593982
Least Common Multiple (LCM) of 26122 and 26131 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26122 and 26131. First we will calculate the prime factors of 26122 and 26131.
Prime Factorization of 26122
Prime factors of 26122 are 2, 37, 353. Prime factorization of 26122 in exponential form is:
26122 = 21 × 371 × 3531
Prime Factorization of 26131
Prime factors of 26131 are 7, 3733. Prime factorization of 26131 in exponential form is:
26131 = 71 × 37331
Now multiplying the highest exponent prime factors to calculate the LCM of 26122 and 26131.
LCM(26122,26131) = 21 × 371 × 3531 × 71 × 37331
LCM(26122,26131) = 682593982
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