What is the Least Common Multiple of 26024 and 26044?
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 26024 and 26044 is 169442264.
LCM(26024,26044) = 169442264
Least Common Multiple of 26024 and 26044 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26024 and 26044, than apply into the LCM equation.
GCF(26024,26044) = 4
LCM(26024,26044) = ( 26024 × 26044) / 4
LCM(26024,26044) = 677769056 / 4
LCM(26024,26044) = 169442264
Least Common Multiple (LCM) of 26024 and 26044 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26024 and 26044. First we will calculate the prime factors of 26024 and 26044.
Prime Factorization of 26024
Prime factors of 26024 are 2, 3253. Prime factorization of 26024 in exponential form is:
26024 = 23 × 32531
Prime Factorization of 26044
Prime factors of 26044 are 2, 17, 383. Prime factorization of 26044 in exponential form is:
26044 = 22 × 171 × 3831
Now multiplying the highest exponent prime factors to calculate the LCM of 26024 and 26044.
LCM(26024,26044) = 23 × 32531 × 171 × 3831
LCM(26024,26044) = 169442264
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