What is the Least Common Multiple of 26862 and 26869?
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 26862 and 26869 is 721755078.
LCM(26862,26869) = 721755078
Least Common Multiple of 26862 and 26869 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26862 and 26869, than apply into the LCM equation.
GCF(26862,26869) = 1
LCM(26862,26869) = ( 26862 × 26869) / 1
LCM(26862,26869) = 721755078 / 1
LCM(26862,26869) = 721755078
Least Common Multiple (LCM) of 26862 and 26869 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26862 and 26869. First we will calculate the prime factors of 26862 and 26869.
Prime Factorization of 26862
Prime factors of 26862 are 2, 3, 11, 37. Prime factorization of 26862 in exponential form is:
26862 = 21 × 31 × 112 × 371
Prime Factorization of 26869
Prime factors of 26869 are 97, 277. Prime factorization of 26869 in exponential form is:
26869 = 971 × 2771
Now multiplying the highest exponent prime factors to calculate the LCM of 26862 and 26869.
LCM(26862,26869) = 21 × 31 × 112 × 371 × 971 × 2771
LCM(26862,26869) = 721755078
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Related Least Common Multiples of 26869
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