What is the Least Common Multiple of 36217 and 36231?
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 36217 and 36231 is 1312178127.
LCM(36217,36231) = 1312178127
Least Common Multiple of 36217 and 36231 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36217 and 36231, than apply into the LCM equation.
GCF(36217,36231) = 1
LCM(36217,36231) = ( 36217 × 36231) / 1
LCM(36217,36231) = 1312178127 / 1
LCM(36217,36231) = 1312178127
Least Common Multiple (LCM) of 36217 and 36231 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 36217 and 36231. First we will calculate the prime factors of 36217 and 36231.
Prime Factorization of 36217
Prime factors of 36217 are 36217. Prime factorization of 36217 in exponential form is:
36217 = 362171
Prime Factorization of 36231
Prime factors of 36231 are 3, 13, 929. Prime factorization of 36231 in exponential form is:
36231 = 31 × 131 × 9291
Now multiplying the highest exponent prime factors to calculate the LCM of 36217 and 36231.
LCM(36217,36231) = 362171 × 31 × 131 × 9291
LCM(36217,36231) = 1312178127
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