What is the Least Common Multiple of 9698 and 9711?
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 9698 and 9711 is 7244406.
LCM(9698,9711) = 7244406
Least Common Multiple of 9698 and 9711 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9698 and 9711, than apply into the LCM equation.
GCF(9698,9711) = 13
LCM(9698,9711) = ( 9698 × 9711) / 13
LCM(9698,9711) = 94177278 / 13
LCM(9698,9711) = 7244406
Least Common Multiple (LCM) of 9698 and 9711 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9698 and 9711. First we will calculate the prime factors of 9698 and 9711.
Prime Factorization of 9698
Prime factors of 9698 are 2, 13, 373. Prime factorization of 9698 in exponential form is:
9698 = 21 × 131 × 3731
Prime Factorization of 9711
Prime factors of 9711 are 3, 13, 83. Prime factorization of 9711 in exponential form is:
9711 = 32 × 131 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 9698 and 9711.
LCM(9698,9711) = 21 × 131 × 3731 × 32 × 831
LCM(9698,9711) = 7244406
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