What is the Least Common Multiple of 9714 and 9720?
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 9714 and 9720 is 15736680.
LCM(9714,9720) = 15736680
Least Common Multiple of 9714 and 9720 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9714 and 9720, than apply into the LCM equation.
GCF(9714,9720) = 6
LCM(9714,9720) = ( 9714 × 9720) / 6
LCM(9714,9720) = 94420080 / 6
LCM(9714,9720) = 15736680
Least Common Multiple (LCM) of 9714 and 9720 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9714 and 9720. First we will calculate the prime factors of 9714 and 9720.
Prime Factorization of 9714
Prime factors of 9714 are 2, 3, 1619. Prime factorization of 9714 in exponential form is:
9714 = 21 × 31 × 16191
Prime Factorization of 9720
Prime factors of 9720 are 2, 3, 5. Prime factorization of 9720 in exponential form is:
9720 = 23 × 35 × 51
Now multiplying the highest exponent prime factors to calculate the LCM of 9714 and 9720.
LCM(9714,9720) = 23 × 35 × 16191 × 51
LCM(9714,9720) = 15736680
Related Least Common Multiples of 9714
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Related Least Common Multiples of 9720
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- LCM of 9720 and 9730
- LCM of 9720 and 9731
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- LCM of 9720 and 9734
- LCM of 9720 and 9735
- LCM of 9720 and 9736
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