What is the Least Common Multiple of 46231 and 46251?
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 46231 and 46251 is 2138229981.
LCM(46231,46251) = 2138229981
Least Common Multiple of 46231 and 46251 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46231 and 46251, than apply into the LCM equation.
GCF(46231,46251) = 1
LCM(46231,46251) = ( 46231 × 46251) / 1
LCM(46231,46251) = 2138229981 / 1
LCM(46231,46251) = 2138229981
Least Common Multiple (LCM) of 46231 and 46251 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 46231 and 46251. First we will calculate the prime factors of 46231 and 46251.
Prime Factorization of 46231
Prime factors of 46231 are 83, 557. Prime factorization of 46231 in exponential form is:
46231 = 831 × 5571
Prime Factorization of 46251
Prime factors of 46251 are 3, 571. Prime factorization of 46251 in exponential form is:
46251 = 34 × 5711
Now multiplying the highest exponent prime factors to calculate the LCM of 46231 and 46251.
LCM(46231,46251) = 831 × 5571 × 34 × 5711
LCM(46231,46251) = 2138229981
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