What is the Least Common Multiple of 7685 and 7700?
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 7685 and 7700 is 11834900.
LCM(7685,7700) = 11834900
Least Common Multiple of 7685 and 7700 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7685 and 7700, than apply into the LCM equation.
GCF(7685,7700) = 5
LCM(7685,7700) = ( 7685 × 7700) / 5
LCM(7685,7700) = 59174500 / 5
LCM(7685,7700) = 11834900
Least Common Multiple (LCM) of 7685 and 7700 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7685 and 7700. First we will calculate the prime factors of 7685 and 7700.
Prime Factorization of 7685
Prime factors of 7685 are 5, 29, 53. Prime factorization of 7685 in exponential form is:
7685 = 51 × 291 × 531
Prime Factorization of 7700
Prime factors of 7700 are 2, 5, 7, 11. Prime factorization of 7700 in exponential form is:
7700 = 22 × 52 × 71 × 111
Now multiplying the highest exponent prime factors to calculate the LCM of 7685 and 7700.
LCM(7685,7700) = 52 × 291 × 531 × 22 × 71 × 111
LCM(7685,7700) = 11834900
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