What is the Least Common Multiple of 26857 and 26861?
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 26857 and 26861 is 721405877.
LCM(26857,26861) = 721405877
Least Common Multiple of 26857 and 26861 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26857 and 26861, than apply into the LCM equation.
GCF(26857,26861) = 1
LCM(26857,26861) = ( 26857 × 26861) / 1
LCM(26857,26861) = 721405877 / 1
LCM(26857,26861) = 721405877
Least Common Multiple (LCM) of 26857 and 26861 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26857 and 26861. First we will calculate the prime factors of 26857 and 26861.
Prime Factorization of 26857
Prime factors of 26857 are 107, 251. Prime factorization of 26857 in exponential form is:
26857 = 1071 × 2511
Prime Factorization of 26861
Prime factors of 26861 are 26861. Prime factorization of 26861 in exponential form is:
26861 = 268611
Now multiplying the highest exponent prime factors to calculate the LCM of 26857 and 26861.
LCM(26857,26861) = 1071 × 2511 × 268611
LCM(26857,26861) = 721405877
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