What is the Least Common Multiple of 46093 and 46098?
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 46093 and 46098 is 2124795114.
LCM(46093,46098) = 2124795114
Least Common Multiple of 46093 and 46098 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46093 and 46098, than apply into the LCM equation.
GCF(46093,46098) = 1
LCM(46093,46098) = ( 46093 × 46098) / 1
LCM(46093,46098) = 2124795114 / 1
LCM(46093,46098) = 2124795114
Least Common Multiple (LCM) of 46093 and 46098 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 46093 and 46098. First we will calculate the prime factors of 46093 and 46098.
Prime Factorization of 46093
Prime factors of 46093 are 46093. Prime factorization of 46093 in exponential form is:
46093 = 460931
Prime Factorization of 46098
Prime factors of 46098 are 2, 3, 13, 197. Prime factorization of 46098 in exponential form is:
46098 = 21 × 32 × 131 × 1971
Now multiplying the highest exponent prime factors to calculate the LCM of 46093 and 46098.
LCM(46093,46098) = 460931 × 21 × 32 × 131 × 1971
LCM(46093,46098) = 2124795114
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