What is the Least Common Multiple of 9906 and 9924?
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 9906 and 9924 is 16384524.
LCM(9906,9924) = 16384524
Least Common Multiple of 9906 and 9924 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9906 and 9924, than apply into the LCM equation.
GCF(9906,9924) = 6
LCM(9906,9924) = ( 9906 × 9924) / 6
LCM(9906,9924) = 98307144 / 6
LCM(9906,9924) = 16384524
Least Common Multiple (LCM) of 9906 and 9924 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9906 and 9924. First we will calculate the prime factors of 9906 and 9924.
Prime Factorization of 9906
Prime factors of 9906 are 2, 3, 13, 127. Prime factorization of 9906 in exponential form is:
9906 = 21 × 31 × 131 × 1271
Prime Factorization of 9924
Prime factors of 9924 are 2, 3, 827. Prime factorization of 9924 in exponential form is:
9924 = 22 × 31 × 8271
Now multiplying the highest exponent prime factors to calculate the LCM of 9906 and 9924.
LCM(9906,9924) = 22 × 31 × 131 × 1271 × 8271
LCM(9906,9924) = 16384524
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