What is the Least Common Multiple of 26184 and 26190?
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 26184 and 26190 is 114293160.
LCM(26184,26190) = 114293160
Least Common Multiple of 26184 and 26190 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26184 and 26190, than apply into the LCM equation.
GCF(26184,26190) = 6
LCM(26184,26190) = ( 26184 × 26190) / 6
LCM(26184,26190) = 685758960 / 6
LCM(26184,26190) = 114293160
Least Common Multiple (LCM) of 26184 and 26190 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26184 and 26190. First we will calculate the prime factors of 26184 and 26190.
Prime Factorization of 26184
Prime factors of 26184 are 2, 3, 1091. Prime factorization of 26184 in exponential form is:
26184 = 23 × 31 × 10911
Prime Factorization of 26190
Prime factors of 26190 are 2, 3, 5, 97. Prime factorization of 26190 in exponential form is:
26190 = 21 × 33 × 51 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 26184 and 26190.
LCM(26184,26190) = 23 × 33 × 10911 × 51 × 971
LCM(26184,26190) = 114293160
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