What is the Least Common Multiple of 9696 and 9707?
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 9696 and 9707 is 94119072.
LCM(9696,9707) = 94119072
Least Common Multiple of 9696 and 9707 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9696 and 9707, than apply into the LCM equation.
GCF(9696,9707) = 1
LCM(9696,9707) = ( 9696 × 9707) / 1
LCM(9696,9707) = 94119072 / 1
LCM(9696,9707) = 94119072
Least Common Multiple (LCM) of 9696 and 9707 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9696 and 9707. First we will calculate the prime factors of 9696 and 9707.
Prime Factorization of 9696
Prime factors of 9696 are 2, 3, 101. Prime factorization of 9696 in exponential form is:
9696 = 25 × 31 × 1011
Prime Factorization of 9707
Prime factors of 9707 are 17, 571. Prime factorization of 9707 in exponential form is:
9707 = 171 × 5711
Now multiplying the highest exponent prime factors to calculate the LCM of 9696 and 9707.
LCM(9696,9707) = 25 × 31 × 1011 × 171 × 5711
LCM(9696,9707) = 94119072
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