What is the Least Common Multiple of 26155 and 26168?
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 26155 and 26168 is 684424040.
LCM(26155,26168) = 684424040
Least Common Multiple of 26155 and 26168 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26155 and 26168, than apply into the LCM equation.
GCF(26155,26168) = 1
LCM(26155,26168) = ( 26155 × 26168) / 1
LCM(26155,26168) = 684424040 / 1
LCM(26155,26168) = 684424040
Least Common Multiple (LCM) of 26155 and 26168 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26155 and 26168. First we will calculate the prime factors of 26155 and 26168.
Prime Factorization of 26155
Prime factors of 26155 are 5, 5231. Prime factorization of 26155 in exponential form is:
26155 = 51 × 52311
Prime Factorization of 26168
Prime factors of 26168 are 2, 3271. Prime factorization of 26168 in exponential form is:
26168 = 23 × 32711
Now multiplying the highest exponent prime factors to calculate the LCM of 26155 and 26168.
LCM(26155,26168) = 51 × 52311 × 23 × 32711
LCM(26155,26168) = 684424040
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