What is the Least Common Multiple of 46243 and 46247?
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 46243 and 46247 is 2138600021.
LCM(46243,46247) = 2138600021
Least Common Multiple of 46243 and 46247 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46243 and 46247, than apply into the LCM equation.
GCF(46243,46247) = 1
LCM(46243,46247) = ( 46243 × 46247) / 1
LCM(46243,46247) = 2138600021 / 1
LCM(46243,46247) = 2138600021
Least Common Multiple (LCM) of 46243 and 46247 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 46243 and 46247. First we will calculate the prime factors of 46243 and 46247.
Prime Factorization of 46243
Prime factors of 46243 are 131, 353. Prime factorization of 46243 in exponential form is:
46243 = 1311 × 3531
Prime Factorization of 46247
Prime factors of 46247 are 103, 449. Prime factorization of 46247 in exponential form is:
46247 = 1031 × 4491
Now multiplying the highest exponent prime factors to calculate the LCM of 46243 and 46247.
LCM(46243,46247) = 1311 × 3531 × 1031 × 4491
LCM(46243,46247) = 2138600021
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