What is the Least Common Multiple of 26626 and 26644?
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 26626 and 26644 is 354711572.
LCM(26626,26644) = 354711572
Least Common Multiple of 26626 and 26644 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26626 and 26644, than apply into the LCM equation.
GCF(26626,26644) = 2
LCM(26626,26644) = ( 26626 × 26644) / 2
LCM(26626,26644) = 709423144 / 2
LCM(26626,26644) = 354711572
Least Common Multiple (LCM) of 26626 and 26644 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26626 and 26644. First we will calculate the prime factors of 26626 and 26644.
Prime Factorization of 26626
Prime factors of 26626 are 2, 13313. Prime factorization of 26626 in exponential form is:
26626 = 21 × 133131
Prime Factorization of 26644
Prime factors of 26644 are 2, 6661. Prime factorization of 26644 in exponential form is:
26644 = 22 × 66611
Now multiplying the highest exponent prime factors to calculate the LCM of 26626 and 26644.
LCM(26626,26644) = 22 × 133131 × 66611
LCM(26626,26644) = 354711572
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