What is the Least Common Multiple of 9875 and 9892?
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 9875 and 9892 is 97683500.
LCM(9875,9892) = 97683500
Least Common Multiple of 9875 and 9892 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9875 and 9892, than apply into the LCM equation.
GCF(9875,9892) = 1
LCM(9875,9892) = ( 9875 × 9892) / 1
LCM(9875,9892) = 97683500 / 1
LCM(9875,9892) = 97683500
Least Common Multiple (LCM) of 9875 and 9892 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9875 and 9892. First we will calculate the prime factors of 9875 and 9892.
Prime Factorization of 9875
Prime factors of 9875 are 5, 79. Prime factorization of 9875 in exponential form is:
9875 = 53 × 791
Prime Factorization of 9892
Prime factors of 9892 are 2, 2473. Prime factorization of 9892 in exponential form is:
9892 = 22 × 24731
Now multiplying the highest exponent prime factors to calculate the LCM of 9875 and 9892.
LCM(9875,9892) = 53 × 791 × 22 × 24731
LCM(9875,9892) = 97683500
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