What is the Least Common Multiple of 36847 and 36853?
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 36853 is 1357922491.
LCM(36847,36853) = 1357922491
Least Common Multiple of 36847 and 36853 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 36853, than apply into the LCM equation.
GCF(36847,36853) = 1
LCM(36847,36853) = ( 36847 × 36853) / 1
LCM(36847,36853) = 1357922491 / 1
LCM(36847,36853) = 1357922491
Least Common Multiple (LCM) of 36847 and 36853 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 36847 and 36853. First we will calculate the prime factors of 36847 and 36853.
Prime Factorization of 36847
Prime factors of 36847 are 36847. Prime factorization of 36847 in exponential form is:
36847 = 368471
Prime Factorization of 36853
Prime factors of 36853 are 137, 269. Prime factorization of 36853 in exponential form is:
36853 = 1371 × 2691
Now multiplying the highest exponent prime factors to calculate the LCM of 36847 and 36853.
LCM(36847,36853) = 368471 × 1371 × 2691
LCM(36847,36853) = 1357922491
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