What is the Least Common Multiple of 26174 and 26188?
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 26174 and 26188 is 342722356.
LCM(26174,26188) = 342722356
Least Common Multiple of 26174 and 26188 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26174 and 26188, than apply into the LCM equation.
GCF(26174,26188) = 2
LCM(26174,26188) = ( 26174 × 26188) / 2
LCM(26174,26188) = 685444712 / 2
LCM(26174,26188) = 342722356
Least Common Multiple (LCM) of 26174 and 26188 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26174 and 26188. First we will calculate the prime factors of 26174 and 26188.
Prime Factorization of 26174
Prime factors of 26174 are 2, 23, 569. Prime factorization of 26174 in exponential form is:
26174 = 21 × 231 × 5691
Prime Factorization of 26188
Prime factors of 26188 are 2, 6547. Prime factorization of 26188 in exponential form is:
26188 = 22 × 65471
Now multiplying the highest exponent prime factors to calculate the LCM of 26174 and 26188.
LCM(26174,26188) = 22 × 231 × 5691 × 65471
LCM(26174,26188) = 342722356
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