What is the Least Common Multiple of 26507 and 26524?
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 26507 and 26524 is 703071668.
LCM(26507,26524) = 703071668
Least Common Multiple of 26507 and 26524 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26507 and 26524, than apply into the LCM equation.
GCF(26507,26524) = 1
LCM(26507,26524) = ( 26507 × 26524) / 1
LCM(26507,26524) = 703071668 / 1
LCM(26507,26524) = 703071668
Least Common Multiple (LCM) of 26507 and 26524 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26507 and 26524. First we will calculate the prime factors of 26507 and 26524.
Prime Factorization of 26507
Prime factors of 26507 are 13, 2039. Prime factorization of 26507 in exponential form is:
26507 = 131 × 20391
Prime Factorization of 26524
Prime factors of 26524 are 2, 19, 349. Prime factorization of 26524 in exponential form is:
26524 = 22 × 191 × 3491
Now multiplying the highest exponent prime factors to calculate the LCM of 26507 and 26524.
LCM(26507,26524) = 131 × 20391 × 22 × 191 × 3491
LCM(26507,26524) = 703071668
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