What is the Least Common Multiple of 46310 and 46317?
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 46310 and 46317 is 2144940270.
LCM(46310,46317) = 2144940270
Least Common Multiple of 46310 and 46317 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46310 and 46317, than apply into the LCM equation.
GCF(46310,46317) = 1
LCM(46310,46317) = ( 46310 × 46317) / 1
LCM(46310,46317) = 2144940270 / 1
LCM(46310,46317) = 2144940270
Least Common Multiple (LCM) of 46310 and 46317 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 46310 and 46317. First we will calculate the prime factors of 46310 and 46317.
Prime Factorization of 46310
Prime factors of 46310 are 2, 5, 11, 421. Prime factorization of 46310 in exponential form is:
46310 = 21 × 51 × 111 × 4211
Prime Factorization of 46317
Prime factors of 46317 are 3, 15439. Prime factorization of 46317 in exponential form is:
46317 = 31 × 154391
Now multiplying the highest exponent prime factors to calculate the LCM of 46310 and 46317.
LCM(46310,46317) = 21 × 51 × 111 × 4211 × 31 × 154391
LCM(46310,46317) = 2144940270
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