What is the Least Common Multiple of 26802 and 26809?
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 26802 and 26809 is 718534818.
LCM(26802,26809) = 718534818
Least Common Multiple of 26802 and 26809 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26802 and 26809, than apply into the LCM equation.
GCF(26802,26809) = 1
LCM(26802,26809) = ( 26802 × 26809) / 1
LCM(26802,26809) = 718534818 / 1
LCM(26802,26809) = 718534818
Least Common Multiple (LCM) of 26802 and 26809 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26802 and 26809. First we will calculate the prime factors of 26802 and 26809.
Prime Factorization of 26802
Prime factors of 26802 are 2, 3, 1489. Prime factorization of 26802 in exponential form is:
26802 = 21 × 32 × 14891
Prime Factorization of 26809
Prime factors of 26809 are 17, 19, 83. Prime factorization of 26809 in exponential form is:
26809 = 171 × 191 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 26802 and 26809.
LCM(26802,26809) = 21 × 32 × 14891 × 171 × 191 × 831
LCM(26802,26809) = 718534818
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