What is the Least Common Multiple of 26608 and 26626?
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 26608 and 26626 is 354232304.
LCM(26608,26626) = 354232304
Least Common Multiple of 26608 and 26626 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26608 and 26626, than apply into the LCM equation.
GCF(26608,26626) = 2
LCM(26608,26626) = ( 26608 × 26626) / 2
LCM(26608,26626) = 708464608 / 2
LCM(26608,26626) = 354232304
Least Common Multiple (LCM) of 26608 and 26626 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26608 and 26626. First we will calculate the prime factors of 26608 and 26626.
Prime Factorization of 26608
Prime factors of 26608 are 2, 1663. Prime factorization of 26608 in exponential form is:
26608 = 24 × 16631
Prime Factorization of 26626
Prime factors of 26626 are 2, 13313. Prime factorization of 26626 in exponential form is:
26626 = 21 × 133131
Now multiplying the highest exponent prime factors to calculate the LCM of 26608 and 26626.
LCM(26608,26626) = 24 × 16631 × 133131
LCM(26608,26626) = 354232304
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