What is the Least Common Multiple of 46910 and 46927?
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 46910 and 46927 is 2201345570.
LCM(46910,46927) = 2201345570
Least Common Multiple of 46910 and 46927 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46910 and 46927, than apply into the LCM equation.
GCF(46910,46927) = 1
LCM(46910,46927) = ( 46910 × 46927) / 1
LCM(46910,46927) = 2201345570 / 1
LCM(46910,46927) = 2201345570
Least Common Multiple (LCM) of 46910 and 46927 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 46910 and 46927. First we will calculate the prime factors of 46910 and 46927.
Prime Factorization of 46910
Prime factors of 46910 are 2, 5, 4691. Prime factorization of 46910 in exponential form is:
46910 = 21 × 51 × 46911
Prime Factorization of 46927
Prime factors of 46927 are 167, 281. Prime factorization of 46927 in exponential form is:
46927 = 1671 × 2811
Now multiplying the highest exponent prime factors to calculate the LCM of 46910 and 46927.
LCM(46910,46927) = 21 × 51 × 46911 × 1671 × 2811
LCM(46910,46927) = 2201345570
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