What is the Least Common Multiple of 46665 and 46677?
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 46665 and 46677 is 726060735.
LCM(46665,46677) = 726060735
Least Common Multiple of 46665 and 46677 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46665 and 46677, than apply into the LCM equation.
GCF(46665,46677) = 3
LCM(46665,46677) = ( 46665 × 46677) / 3
LCM(46665,46677) = 2178182205 / 3
LCM(46665,46677) = 726060735
Least Common Multiple (LCM) of 46665 and 46677 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 46665 and 46677. First we will calculate the prime factors of 46665 and 46677.
Prime Factorization of 46665
Prime factors of 46665 are 3, 5, 17, 61. Prime factorization of 46665 in exponential form is:
46665 = 32 × 51 × 171 × 611
Prime Factorization of 46677
Prime factors of 46677 are 3, 15559. Prime factorization of 46677 in exponential form is:
46677 = 31 × 155591
Now multiplying the highest exponent prime factors to calculate the LCM of 46665 and 46677.
LCM(46665,46677) = 32 × 51 × 171 × 611 × 155591
LCM(46665,46677) = 726060735
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