What is the Least Common Multiple of 46037 and 46054?
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 46037 and 46054 is 2120187998.
LCM(46037,46054) = 2120187998
Least Common Multiple of 46037 and 46054 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46037 and 46054, than apply into the LCM equation.
GCF(46037,46054) = 1
LCM(46037,46054) = ( 46037 × 46054) / 1
LCM(46037,46054) = 2120187998 / 1
LCM(46037,46054) = 2120187998
Least Common Multiple (LCM) of 46037 and 46054 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 46037 and 46054. First we will calculate the prime factors of 46037 and 46054.
Prime Factorization of 46037
Prime factors of 46037 are 19, 2423. Prime factorization of 46037 in exponential form is:
46037 = 191 × 24231
Prime Factorization of 46054
Prime factors of 46054 are 2, 23027. Prime factorization of 46054 in exponential form is:
46054 = 21 × 230271
Now multiplying the highest exponent prime factors to calculate the LCM of 46037 and 46054.
LCM(46037,46054) = 191 × 24231 × 21 × 230271
LCM(46037,46054) = 2120187998
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