What is the Least Common Multiple of 9760 and 9773?
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 9760 and 9773 is 95384480.
LCM(9760,9773) = 95384480
Least Common Multiple of 9760 and 9773 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9760 and 9773, than apply into the LCM equation.
GCF(9760,9773) = 1
LCM(9760,9773) = ( 9760 × 9773) / 1
LCM(9760,9773) = 95384480 / 1
LCM(9760,9773) = 95384480
Least Common Multiple (LCM) of 9760 and 9773 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9760 and 9773. First we will calculate the prime factors of 9760 and 9773.
Prime Factorization of 9760
Prime factors of 9760 are 2, 5, 61. Prime factorization of 9760 in exponential form is:
9760 = 25 × 51 × 611
Prime Factorization of 9773
Prime factors of 9773 are 29, 337. Prime factorization of 9773 in exponential form is:
9773 = 291 × 3371
Now multiplying the highest exponent prime factors to calculate the LCM of 9760 and 9773.
LCM(9760,9773) = 25 × 51 × 611 × 291 × 3371
LCM(9760,9773) = 95384480
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