What is the Least Common Multiple of 46257 and 46268?
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 46257 and 46268 is 2140218876.
LCM(46257,46268) = 2140218876
Least Common Multiple of 46257 and 46268 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46257 and 46268, than apply into the LCM equation.
GCF(46257,46268) = 1
LCM(46257,46268) = ( 46257 × 46268) / 1
LCM(46257,46268) = 2140218876 / 1
LCM(46257,46268) = 2140218876
Least Common Multiple (LCM) of 46257 and 46268 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 46257 and 46268. First we will calculate the prime factors of 46257 and 46268.
Prime Factorization of 46257
Prime factors of 46257 are 3, 17, 907. Prime factorization of 46257 in exponential form is:
46257 = 31 × 171 × 9071
Prime Factorization of 46268
Prime factors of 46268 are 2, 43, 269. Prime factorization of 46268 in exponential form is:
46268 = 22 × 431 × 2691
Now multiplying the highest exponent prime factors to calculate the LCM of 46257 and 46268.
LCM(46257,46268) = 31 × 171 × 9071 × 22 × 431 × 2691
LCM(46257,46268) = 2140218876
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