What is the Least Common Multiple of 9636 and 9644?
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 9636 and 9644 is 23232396.
LCM(9636,9644) = 23232396
Least Common Multiple of 9636 and 9644 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9636 and 9644, than apply into the LCM equation.
GCF(9636,9644) = 4
LCM(9636,9644) = ( 9636 × 9644) / 4
LCM(9636,9644) = 92929584 / 4
LCM(9636,9644) = 23232396
Least Common Multiple (LCM) of 9636 and 9644 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9636 and 9644. First we will calculate the prime factors of 9636 and 9644.
Prime Factorization of 9636
Prime factors of 9636 are 2, 3, 11, 73. Prime factorization of 9636 in exponential form is:
9636 = 22 × 31 × 111 × 731
Prime Factorization of 9644
Prime factors of 9644 are 2, 2411. Prime factorization of 9644 in exponential form is:
9644 = 22 × 24111
Now multiplying the highest exponent prime factors to calculate the LCM of 9636 and 9644.
LCM(9636,9644) = 22 × 31 × 111 × 731 × 24111
LCM(9636,9644) = 23232396
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