What is the Least Common Multiple of 7719 and 7736?
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 7719 and 7736 is 59714184.
LCM(7719,7736) = 59714184
Least Common Multiple of 7719 and 7736 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7719 and 7736, than apply into the LCM equation.
GCF(7719,7736) = 1
LCM(7719,7736) = ( 7719 × 7736) / 1
LCM(7719,7736) = 59714184 / 1
LCM(7719,7736) = 59714184
Least Common Multiple (LCM) of 7719 and 7736 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7719 and 7736. First we will calculate the prime factors of 7719 and 7736.
Prime Factorization of 7719
Prime factors of 7719 are 3, 31, 83. Prime factorization of 7719 in exponential form is:
7719 = 31 × 311 × 831
Prime Factorization of 7736
Prime factors of 7736 are 2, 967. Prime factorization of 7736 in exponential form is:
7736 = 23 × 9671
Now multiplying the highest exponent prime factors to calculate the LCM of 7719 and 7736.
LCM(7719,7736) = 31 × 311 × 831 × 23 × 9671
LCM(7719,7736) = 59714184
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