What is the Least Common Multiple of 46809 and 46813?
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 46809 and 46813 is 2191269717.
LCM(46809,46813) = 2191269717
Least Common Multiple of 46809 and 46813 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46809 and 46813, than apply into the LCM equation.
GCF(46809,46813) = 1
LCM(46809,46813) = ( 46809 × 46813) / 1
LCM(46809,46813) = 2191269717 / 1
LCM(46809,46813) = 2191269717
Least Common Multiple (LCM) of 46809 and 46813 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 46809 and 46813. First we will calculate the prime factors of 46809 and 46813.
Prime Factorization of 46809
Prime factors of 46809 are 3, 7, 743. Prime factorization of 46809 in exponential form is:
46809 = 32 × 71 × 7431
Prime Factorization of 46813
Prime factors of 46813 are 13, 277. Prime factorization of 46813 in exponential form is:
46813 = 132 × 2771
Now multiplying the highest exponent prime factors to calculate the LCM of 46809 and 46813.
LCM(46809,46813) = 32 × 71 × 7431 × 132 × 2771
LCM(46809,46813) = 2191269717
Related Least Common Multiples of 46809
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Related Least Common Multiples of 46813
- LCM of 46813 and 46817
- LCM of 46813 and 46818
- LCM of 46813 and 46819
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