What is the Least Common Multiple of 7696 and 7711?
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 7696 and 7711 is 59343856.
LCM(7696,7711) = 59343856
Least Common Multiple of 7696 and 7711 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7696 and 7711, than apply into the LCM equation.
GCF(7696,7711) = 1
LCM(7696,7711) = ( 7696 × 7711) / 1
LCM(7696,7711) = 59343856 / 1
LCM(7696,7711) = 59343856
Least Common Multiple (LCM) of 7696 and 7711 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7696 and 7711. First we will calculate the prime factors of 7696 and 7711.
Prime Factorization of 7696
Prime factors of 7696 are 2, 13, 37. Prime factorization of 7696 in exponential form is:
7696 = 24 × 131 × 371
Prime Factorization of 7711
Prime factors of 7711 are 11, 701. Prime factorization of 7711 in exponential form is:
7711 = 111 × 7011
Now multiplying the highest exponent prime factors to calculate the LCM of 7696 and 7711.
LCM(7696,7711) = 24 × 131 × 371 × 111 × 7011
LCM(7696,7711) = 59343856
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