What is the Least Common Multiple of 11858 and 11877?
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 11858 and 11877 is 140837466.
LCM(11858,11877) = 140837466
Least Common Multiple of 11858 and 11877 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11858 and 11877, than apply into the LCM equation.
GCF(11858,11877) = 1
LCM(11858,11877) = ( 11858 × 11877) / 1
LCM(11858,11877) = 140837466 / 1
LCM(11858,11877) = 140837466
Least Common Multiple (LCM) of 11858 and 11877 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11858 and 11877. First we will calculate the prime factors of 11858 and 11877.
Prime Factorization of 11858
Prime factors of 11858 are 2, 7, 11. Prime factorization of 11858 in exponential form is:
11858 = 21 × 72 × 112
Prime Factorization of 11877
Prime factors of 11877 are 3, 37, 107. Prime factorization of 11877 in exponential form is:
11877 = 31 × 371 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 11858 and 11877.
LCM(11858,11877) = 21 × 72 × 112 × 31 × 371 × 1071
LCM(11858,11877) = 140837466
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