What is the Least Common Multiple of 9664 and 9682?
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 9664 and 9682 is 46783424.
LCM(9664,9682) = 46783424
Least Common Multiple of 9664 and 9682 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9664 and 9682, than apply into the LCM equation.
GCF(9664,9682) = 2
LCM(9664,9682) = ( 9664 × 9682) / 2
LCM(9664,9682) = 93566848 / 2
LCM(9664,9682) = 46783424
Least Common Multiple (LCM) of 9664 and 9682 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9664 and 9682. First we will calculate the prime factors of 9664 and 9682.
Prime Factorization of 9664
Prime factors of 9664 are 2, 151. Prime factorization of 9664 in exponential form is:
9664 = 26 × 1511
Prime Factorization of 9682
Prime factors of 9682 are 2, 47, 103. Prime factorization of 9682 in exponential form is:
9682 = 21 × 471 × 1031
Now multiplying the highest exponent prime factors to calculate the LCM of 9664 and 9682.
LCM(9664,9682) = 26 × 1511 × 471 × 1031
LCM(9664,9682) = 46783424
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