What is the Least Common Multiple of 26524 and 26541?
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 26524 and 26541 is 703973484.
LCM(26524,26541) = 703973484
Least Common Multiple of 26524 and 26541 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26524 and 26541, than apply into the LCM equation.
GCF(26524,26541) = 1
LCM(26524,26541) = ( 26524 × 26541) / 1
LCM(26524,26541) = 703973484 / 1
LCM(26524,26541) = 703973484
Least Common Multiple (LCM) of 26524 and 26541 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26524 and 26541. First we will calculate the prime factors of 26524 and 26541.
Prime Factorization of 26524
Prime factors of 26524 are 2, 19, 349. Prime factorization of 26524 in exponential form is:
26524 = 22 × 191 × 3491
Prime Factorization of 26541
Prime factors of 26541 are 3, 983. Prime factorization of 26541 in exponential form is:
26541 = 33 × 9831
Now multiplying the highest exponent prime factors to calculate the LCM of 26524 and 26541.
LCM(26524,26541) = 22 × 191 × 3491 × 33 × 9831
LCM(26524,26541) = 703973484
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