What is the Least Common Multiple of 8693 and 8708?
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 8693 and 8708 is 75698644.
LCM(8693,8708) = 75698644
Least Common Multiple of 8693 and 8708 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8693 and 8708, than apply into the LCM equation.
GCF(8693,8708) = 1
LCM(8693,8708) = ( 8693 × 8708) / 1
LCM(8693,8708) = 75698644 / 1
LCM(8693,8708) = 75698644
Least Common Multiple (LCM) of 8693 and 8708 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8693 and 8708. First we will calculate the prime factors of 8693 and 8708.
Prime Factorization of 8693
Prime factors of 8693 are 8693. Prime factorization of 8693 in exponential form is:
8693 = 86931
Prime Factorization of 8708
Prime factors of 8708 are 2, 7, 311. Prime factorization of 8708 in exponential form is:
8708 = 22 × 71 × 3111
Now multiplying the highest exponent prime factors to calculate the LCM of 8693 and 8708.
LCM(8693,8708) = 86931 × 22 × 71 × 3111
LCM(8693,8708) = 75698644
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Related Least Common Multiples of 8708
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