What is the Least Common Multiple of 46721 and 46726?
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 46721 and 46726 is 2183085446.
LCM(46721,46726) = 2183085446
Least Common Multiple of 46721 and 46726 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46721 and 46726, than apply into the LCM equation.
GCF(46721,46726) = 1
LCM(46721,46726) = ( 46721 × 46726) / 1
LCM(46721,46726) = 2183085446 / 1
LCM(46721,46726) = 2183085446
Least Common Multiple (LCM) of 46721 and 46726 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 46721 and 46726. First we will calculate the prime factors of 46721 and 46726.
Prime Factorization of 46721
Prime factors of 46721 are 19, 2459. Prime factorization of 46721 in exponential form is:
46721 = 191 × 24591
Prime Factorization of 46726
Prime factors of 46726 are 2, 61, 383. Prime factorization of 46726 in exponential form is:
46726 = 21 × 611 × 3831
Now multiplying the highest exponent prime factors to calculate the LCM of 46721 and 46726.
LCM(46721,46726) = 191 × 24591 × 21 × 611 × 3831
LCM(46721,46726) = 2183085446
Related Least Common Multiples of 46721
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Related Least Common Multiples of 46726
- LCM of 46726 and 46730
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