What is the Least Common Multiple of 11861 and 11870?
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 11861 and 11870 is 140790070.
LCM(11861,11870) = 140790070
Least Common Multiple of 11861 and 11870 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11861 and 11870, than apply into the LCM equation.
GCF(11861,11870) = 1
LCM(11861,11870) = ( 11861 × 11870) / 1
LCM(11861,11870) = 140790070 / 1
LCM(11861,11870) = 140790070
Least Common Multiple (LCM) of 11861 and 11870 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11861 and 11870. First we will calculate the prime factors of 11861 and 11870.
Prime Factorization of 11861
Prime factors of 11861 are 29, 409. Prime factorization of 11861 in exponential form is:
11861 = 291 × 4091
Prime Factorization of 11870
Prime factors of 11870 are 2, 5, 1187. Prime factorization of 11870 in exponential form is:
11870 = 21 × 51 × 11871
Now multiplying the highest exponent prime factors to calculate the LCM of 11861 and 11870.
LCM(11861,11870) = 291 × 4091 × 21 × 51 × 11871
LCM(11861,11870) = 140790070
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