What is the Least Common Multiple of 9688 and 9708?
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 9688 and 9708 is 23512776.
LCM(9688,9708) = 23512776
Least Common Multiple of 9688 and 9708 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9688 and 9708, than apply into the LCM equation.
GCF(9688,9708) = 4
LCM(9688,9708) = ( 9688 × 9708) / 4
LCM(9688,9708) = 94051104 / 4
LCM(9688,9708) = 23512776
Least Common Multiple (LCM) of 9688 and 9708 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9688 and 9708. First we will calculate the prime factors of 9688 and 9708.
Prime Factorization of 9688
Prime factors of 9688 are 2, 7, 173. Prime factorization of 9688 in exponential form is:
9688 = 23 × 71 × 1731
Prime Factorization of 9708
Prime factors of 9708 are 2, 3, 809. Prime factorization of 9708 in exponential form is:
9708 = 22 × 31 × 8091
Now multiplying the highest exponent prime factors to calculate the LCM of 9688 and 9708.
LCM(9688,9708) = 23 × 71 × 1731 × 31 × 8091
LCM(9688,9708) = 23512776
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