What is the Least Common Multiple of 9672 and 9680?
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 9672 and 9680 is 11703120.
LCM(9672,9680) = 11703120
Least Common Multiple of 9672 and 9680 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9672 and 9680, than apply into the LCM equation.
GCF(9672,9680) = 8
LCM(9672,9680) = ( 9672 × 9680) / 8
LCM(9672,9680) = 93624960 / 8
LCM(9672,9680) = 11703120
Least Common Multiple (LCM) of 9672 and 9680 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9672 and 9680. First we will calculate the prime factors of 9672 and 9680.
Prime Factorization of 9672
Prime factors of 9672 are 2, 3, 13, 31. Prime factorization of 9672 in exponential form is:
9672 = 23 × 31 × 131 × 311
Prime Factorization of 9680
Prime factors of 9680 are 2, 5, 11. Prime factorization of 9680 in exponential form is:
9680 = 24 × 51 × 112
Now multiplying the highest exponent prime factors to calculate the LCM of 9672 and 9680.
LCM(9672,9680) = 24 × 31 × 131 × 311 × 51 × 112
LCM(9672,9680) = 11703120
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