What is the Least Common Multiple of 46861 and 46866?
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 46861 and 46866 is 2196187626.
LCM(46861,46866) = 2196187626
Least Common Multiple of 46861 and 46866 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46861 and 46866, than apply into the LCM equation.
GCF(46861,46866) = 1
LCM(46861,46866) = ( 46861 × 46866) / 1
LCM(46861,46866) = 2196187626 / 1
LCM(46861,46866) = 2196187626
Least Common Multiple (LCM) of 46861 and 46866 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 46861 and 46866. First we will calculate the prime factors of 46861 and 46866.
Prime Factorization of 46861
Prime factors of 46861 are 46861. Prime factorization of 46861 in exponential form is:
46861 = 468611
Prime Factorization of 46866
Prime factors of 46866 are 2, 3, 73, 107. Prime factorization of 46866 in exponential form is:
46866 = 21 × 31 × 731 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 46861 and 46866.
LCM(46861,46866) = 468611 × 21 × 31 × 731 × 1071
LCM(46861,46866) = 2196187626
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