What is the Least Common Multiple of 9892 and 9901?
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 9892 and 9901 is 97940692.
LCM(9892,9901) = 97940692
Least Common Multiple of 9892 and 9901 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9892 and 9901, than apply into the LCM equation.
GCF(9892,9901) = 1
LCM(9892,9901) = ( 9892 × 9901) / 1
LCM(9892,9901) = 97940692 / 1
LCM(9892,9901) = 97940692
Least Common Multiple (LCM) of 9892 and 9901 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9892 and 9901. First we will calculate the prime factors of 9892 and 9901.
Prime Factorization of 9892
Prime factors of 9892 are 2, 2473. Prime factorization of 9892 in exponential form is:
9892 = 22 × 24731
Prime Factorization of 9901
Prime factors of 9901 are 9901. Prime factorization of 9901 in exponential form is:
9901 = 99011
Now multiplying the highest exponent prime factors to calculate the LCM of 9892 and 9901.
LCM(9892,9901) = 22 × 24731 × 99011
LCM(9892,9901) = 97940692
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