What is the Least Common Multiple of 46144 and 46151?
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 46144 and 46151 is 304227392.
LCM(46144,46151) = 304227392
Least Common Multiple of 46144 and 46151 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46144 and 46151, than apply into the LCM equation.
GCF(46144,46151) = 7
LCM(46144,46151) = ( 46144 × 46151) / 7
LCM(46144,46151) = 2129591744 / 7
LCM(46144,46151) = 304227392
Least Common Multiple (LCM) of 46144 and 46151 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 46144 and 46151. First we will calculate the prime factors of 46144 and 46151.
Prime Factorization of 46144
Prime factors of 46144 are 2, 7, 103. Prime factorization of 46144 in exponential form is:
46144 = 26 × 71 × 1031
Prime Factorization of 46151
Prime factors of 46151 are 7, 19, 347. Prime factorization of 46151 in exponential form is:
46151 = 71 × 191 × 3471
Now multiplying the highest exponent prime factors to calculate the LCM of 46144 and 46151.
LCM(46144,46151) = 26 × 71 × 1031 × 191 × 3471
LCM(46144,46151) = 304227392
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