What is the Least Common Multiple of 9834 and 9840?
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 9834 and 9840 is 16127760.
LCM(9834,9840) = 16127760
Least Common Multiple of 9834 and 9840 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9834 and 9840, than apply into the LCM equation.
GCF(9834,9840) = 6
LCM(9834,9840) = ( 9834 × 9840) / 6
LCM(9834,9840) = 96766560 / 6
LCM(9834,9840) = 16127760
Least Common Multiple (LCM) of 9834 and 9840 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9834 and 9840. First we will calculate the prime factors of 9834 and 9840.
Prime Factorization of 9834
Prime factors of 9834 are 2, 3, 11, 149. Prime factorization of 9834 in exponential form is:
9834 = 21 × 31 × 111 × 1491
Prime Factorization of 9840
Prime factors of 9840 are 2, 3, 5, 41. Prime factorization of 9840 in exponential form is:
9840 = 24 × 31 × 51 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 9834 and 9840.
LCM(9834,9840) = 24 × 31 × 111 × 1491 × 51 × 411
LCM(9834,9840) = 16127760
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Related Least Common Multiples of 9840
- LCM of 9840 and 9844
- LCM of 9840 and 9845
- LCM of 9840 and 9846
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