What is the Least Common Multiple of 54217 and 54237?
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 54217 and 54237 is 2940567429.
LCM(54217,54237) = 2940567429
Least Common Multiple of 54217 and 54237 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54217 and 54237, than apply into the LCM equation.
GCF(54217,54237) = 1
LCM(54217,54237) = ( 54217 × 54237) / 1
LCM(54217,54237) = 2940567429 / 1
LCM(54217,54237) = 2940567429
Least Common Multiple (LCM) of 54217 and 54237 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54217 and 54237. First we will calculate the prime factors of 54217 and 54237.
Prime Factorization of 54217
Prime factors of 54217 are 54217. Prime factorization of 54217 in exponential form is:
54217 = 542171
Prime Factorization of 54237
Prime factors of 54237 are 3, 101, 179. Prime factorization of 54237 in exponential form is:
54237 = 31 × 1011 × 1791
Now multiplying the highest exponent prime factors to calculate the LCM of 54217 and 54237.
LCM(54217,54237) = 542171 × 31 × 1011 × 1791
LCM(54217,54237) = 2940567429
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