What is the Least Common Multiple of 36847 and 36858?
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 36847 and 36858 is 1358106726.
LCM(36847,36858) = 1358106726
Least Common Multiple of 36847 and 36858 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36847 and 36858, than apply into the LCM equation.
GCF(36847,36858) = 1
LCM(36847,36858) = ( 36847 × 36858) / 1
LCM(36847,36858) = 1358106726 / 1
LCM(36847,36858) = 1358106726
Least Common Multiple (LCM) of 36847 and 36858 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 36847 and 36858. First we will calculate the prime factors of 36847 and 36858.
Prime Factorization of 36847
Prime factors of 36847 are 36847. Prime factorization of 36847 in exponential form is:
36847 = 368471
Prime Factorization of 36858
Prime factors of 36858 are 2, 3, 6143. Prime factorization of 36858 in exponential form is:
36858 = 21 × 31 × 61431
Now multiplying the highest exponent prime factors to calculate the LCM of 36847 and 36858.
LCM(36847,36858) = 368471 × 21 × 31 × 61431
LCM(36847,36858) = 1358106726
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