What is the Least Common Multiple of 9851 and 9869?
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 9851 and 9869 is 97219519.
LCM(9851,9869) = 97219519
Least Common Multiple of 9851 and 9869 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9851 and 9869, than apply into the LCM equation.
GCF(9851,9869) = 1
LCM(9851,9869) = ( 9851 × 9869) / 1
LCM(9851,9869) = 97219519 / 1
LCM(9851,9869) = 97219519
Least Common Multiple (LCM) of 9851 and 9869 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9851 and 9869. First we will calculate the prime factors of 9851 and 9869.
Prime Factorization of 9851
Prime factors of 9851 are 9851. Prime factorization of 9851 in exponential form is:
9851 = 98511
Prime Factorization of 9869
Prime factors of 9869 are 71, 139. Prime factorization of 9869 in exponential form is:
9869 = 711 × 1391
Now multiplying the highest exponent prime factors to calculate the LCM of 9851 and 9869.
LCM(9851,9869) = 98511 × 711 × 1391
LCM(9851,9869) = 97219519
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