What is the Least Common Multiple of 9772 and 9776?
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 9772 and 9776 is 23882768.
LCM(9772,9776) = 23882768
Least Common Multiple of 9772 and 9776 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9772 and 9776, than apply into the LCM equation.
GCF(9772,9776) = 4
LCM(9772,9776) = ( 9772 × 9776) / 4
LCM(9772,9776) = 95531072 / 4
LCM(9772,9776) = 23882768
Least Common Multiple (LCM) of 9772 and 9776 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9772 and 9776. First we will calculate the prime factors of 9772 and 9776.
Prime Factorization of 9772
Prime factors of 9772 are 2, 7, 349. Prime factorization of 9772 in exponential form is:
9772 = 22 × 71 × 3491
Prime Factorization of 9776
Prime factors of 9776 are 2, 13, 47. Prime factorization of 9776 in exponential form is:
9776 = 24 × 131 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 9772 and 9776.
LCM(9772,9776) = 24 × 71 × 3491 × 131 × 471
LCM(9772,9776) = 23882768
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Related Least Common Multiples of 9776
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