What is the Least Common Multiple of 26818 and 26827?
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 26818 and 26827 is 719446486.
LCM(26818,26827) = 719446486
Least Common Multiple of 26818 and 26827 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26818 and 26827, than apply into the LCM equation.
GCF(26818,26827) = 1
LCM(26818,26827) = ( 26818 × 26827) / 1
LCM(26818,26827) = 719446486 / 1
LCM(26818,26827) = 719446486
Least Common Multiple (LCM) of 26818 and 26827 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26818 and 26827. First we will calculate the prime factors of 26818 and 26827.
Prime Factorization of 26818
Prime factors of 26818 are 2, 11, 23, 53. Prime factorization of 26818 in exponential form is:
26818 = 21 × 111 × 231 × 531
Prime Factorization of 26827
Prime factors of 26827 are 139, 193. Prime factorization of 26827 in exponential form is:
26827 = 1391 × 1931
Now multiplying the highest exponent prime factors to calculate the LCM of 26818 and 26827.
LCM(26818,26827) = 21 × 111 × 231 × 531 × 1391 × 1931
LCM(26818,26827) = 719446486
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