What is the Least Common Multiple of 39863 and 39883?
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 39863 and 39883 is 1589856029.
LCM(39863,39883) = 1589856029
Least Common Multiple of 39863 and 39883 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39863 and 39883, than apply into the LCM equation.
GCF(39863,39883) = 1
LCM(39863,39883) = ( 39863 × 39883) / 1
LCM(39863,39883) = 1589856029 / 1
LCM(39863,39883) = 1589856029
Least Common Multiple (LCM) of 39863 and 39883 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 39863 and 39883. First we will calculate the prime factors of 39863 and 39883.
Prime Factorization of 39863
Prime factors of 39863 are 39863. Prime factorization of 39863 in exponential form is:
39863 = 398631
Prime Factorization of 39883
Prime factors of 39883 are 39883. Prime factorization of 39883 in exponential form is:
39883 = 398831
Now multiplying the highest exponent prime factors to calculate the LCM of 39863 and 39883.
LCM(39863,39883) = 398631 × 398831
LCM(39863,39883) = 1589856029
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