What is the Least Common Multiple of 46758 and 46774?
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 46758 and 46774 is 1093529346.
LCM(46758,46774) = 1093529346
Least Common Multiple of 46758 and 46774 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46758 and 46774, than apply into the LCM equation.
GCF(46758,46774) = 2
LCM(46758,46774) = ( 46758 × 46774) / 2
LCM(46758,46774) = 2187058692 / 2
LCM(46758,46774) = 1093529346
Least Common Multiple (LCM) of 46758 and 46774 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 46758 and 46774. First we will calculate the prime factors of 46758 and 46774.
Prime Factorization of 46758
Prime factors of 46758 are 2, 3, 7793. Prime factorization of 46758 in exponential form is:
46758 = 21 × 31 × 77931
Prime Factorization of 46774
Prime factors of 46774 are 2, 7, 13, 257. Prime factorization of 46774 in exponential form is:
46774 = 21 × 71 × 131 × 2571
Now multiplying the highest exponent prime factors to calculate the LCM of 46758 and 46774.
LCM(46758,46774) = 21 × 31 × 77931 × 71 × 131 × 2571
LCM(46758,46774) = 1093529346
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