What is the Least Common Multiple of 9884 and 9894?
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 9884 and 9894 is 48896148.
LCM(9884,9894) = 48896148
Least Common Multiple of 9884 and 9894 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9884 and 9894, than apply into the LCM equation.
GCF(9884,9894) = 2
LCM(9884,9894) = ( 9884 × 9894) / 2
LCM(9884,9894) = 97792296 / 2
LCM(9884,9894) = 48896148
Least Common Multiple (LCM) of 9884 and 9894 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9884 and 9894. First we will calculate the prime factors of 9884 and 9894.
Prime Factorization of 9884
Prime factors of 9884 are 2, 7, 353. Prime factorization of 9884 in exponential form is:
9884 = 22 × 71 × 3531
Prime Factorization of 9894
Prime factors of 9894 are 2, 3, 17, 97. Prime factorization of 9894 in exponential form is:
9894 = 21 × 31 × 171 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 9884 and 9894.
LCM(9884,9894) = 22 × 71 × 3531 × 31 × 171 × 971
LCM(9884,9894) = 48896148
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