What is the Least Common Multiple of 26022 and 26034?
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 26022 and 26034 is 112909458.
LCM(26022,26034) = 112909458
Least Common Multiple of 26022 and 26034 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26022 and 26034, than apply into the LCM equation.
GCF(26022,26034) = 6
LCM(26022,26034) = ( 26022 × 26034) / 6
LCM(26022,26034) = 677456748 / 6
LCM(26022,26034) = 112909458
Least Common Multiple (LCM) of 26022 and 26034 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26022 and 26034. First we will calculate the prime factors of 26022 and 26034.
Prime Factorization of 26022
Prime factors of 26022 are 2, 3, 4337. Prime factorization of 26022 in exponential form is:
26022 = 21 × 31 × 43371
Prime Factorization of 26034
Prime factors of 26034 are 2, 3, 4339. Prime factorization of 26034 in exponential form is:
26034 = 21 × 31 × 43391
Now multiplying the highest exponent prime factors to calculate the LCM of 26022 and 26034.
LCM(26022,26034) = 21 × 31 × 43371 × 43391
LCM(26022,26034) = 112909458
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