What is the Least Common Multiple of 46018 and 46025?
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 46018 and 46025 is 302568350.
LCM(46018,46025) = 302568350
Least Common Multiple of 46018 and 46025 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46018 and 46025, than apply into the LCM equation.
GCF(46018,46025) = 7
LCM(46018,46025) = ( 46018 × 46025) / 7
LCM(46018,46025) = 2117978450 / 7
LCM(46018,46025) = 302568350
Least Common Multiple (LCM) of 46018 and 46025 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 46018 and 46025. First we will calculate the prime factors of 46018 and 46025.
Prime Factorization of 46018
Prime factors of 46018 are 2, 7, 19, 173. Prime factorization of 46018 in exponential form is:
46018 = 21 × 71 × 191 × 1731
Prime Factorization of 46025
Prime factors of 46025 are 5, 7, 263. Prime factorization of 46025 in exponential form is:
46025 = 52 × 71 × 2631
Now multiplying the highest exponent prime factors to calculate the LCM of 46018 and 46025.
LCM(46018,46025) = 21 × 71 × 191 × 1731 × 52 × 2631
LCM(46018,46025) = 302568350
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