What is the Least Common Multiple of 9803 and 9821?
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 9803 and 9821 is 96275263.
LCM(9803,9821) = 96275263
Least Common Multiple of 9803 and 9821 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9803 and 9821, than apply into the LCM equation.
GCF(9803,9821) = 1
LCM(9803,9821) = ( 9803 × 9821) / 1
LCM(9803,9821) = 96275263 / 1
LCM(9803,9821) = 96275263
Least Common Multiple (LCM) of 9803 and 9821 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9803 and 9821. First we will calculate the prime factors of 9803 and 9821.
Prime Factorization of 9803
Prime factors of 9803 are 9803. Prime factorization of 9803 in exponential form is:
9803 = 98031
Prime Factorization of 9821
Prime factors of 9821 are 7, 23, 61. Prime factorization of 9821 in exponential form is:
9821 = 71 × 231 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 9803 and 9821.
LCM(9803,9821) = 98031 × 71 × 231 × 611
LCM(9803,9821) = 96275263
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