What is the Least Common Multiple of 83883 and 83893?
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 83883 and 83893 is 7037196519.
LCM(83883,83893) = 7037196519
Least Common Multiple of 83883 and 83893 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83883 and 83893, than apply into the LCM equation.
GCF(83883,83893) = 1
LCM(83883,83893) = ( 83883 × 83893) / 1
LCM(83883,83893) = 7037196519 / 1
LCM(83883,83893) = 7037196519
Least Common Multiple (LCM) of 83883 and 83893 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 83883 and 83893. First we will calculate the prime factors of 83883 and 83893.
Prime Factorization of 83883
Prime factors of 83883 are 3, 27961. Prime factorization of 83883 in exponential form is:
83883 = 31 × 279611
Prime Factorization of 83893
Prime factors of 83893 are 43, 1951. Prime factorization of 83893 in exponential form is:
83893 = 431 × 19511
Now multiplying the highest exponent prime factors to calculate the LCM of 83883 and 83893.
LCM(83883,83893) = 31 × 279611 × 431 × 19511
LCM(83883,83893) = 7037196519
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