What is the Least Common Multiple of 9753 and 9760?
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 9753 and 9760 is 95189280.
LCM(9753,9760) = 95189280
Least Common Multiple of 9753 and 9760 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9753 and 9760, than apply into the LCM equation.
GCF(9753,9760) = 1
LCM(9753,9760) = ( 9753 × 9760) / 1
LCM(9753,9760) = 95189280 / 1
LCM(9753,9760) = 95189280
Least Common Multiple (LCM) of 9753 and 9760 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9753 and 9760. First we will calculate the prime factors of 9753 and 9760.
Prime Factorization of 9753
Prime factors of 9753 are 3, 3251. Prime factorization of 9753 in exponential form is:
9753 = 31 × 32511
Prime Factorization of 9760
Prime factors of 9760 are 2, 5, 61. Prime factorization of 9760 in exponential form is:
9760 = 25 × 51 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 9753 and 9760.
LCM(9753,9760) = 31 × 32511 × 25 × 51 × 611
LCM(9753,9760) = 95189280
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