What is the Least Common Multiple of 6716 and 6725?
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 6716 and 6725 is 45165100.
LCM(6716,6725) = 45165100
Least Common Multiple of 6716 and 6725 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6716 and 6725, than apply into the LCM equation.
GCF(6716,6725) = 1
LCM(6716,6725) = ( 6716 × 6725) / 1
LCM(6716,6725) = 45165100 / 1
LCM(6716,6725) = 45165100
Least Common Multiple (LCM) of 6716 and 6725 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6716 and 6725. First we will calculate the prime factors of 6716 and 6725.
Prime Factorization of 6716
Prime factors of 6716 are 2, 23, 73. Prime factorization of 6716 in exponential form is:
6716 = 22 × 231 × 731
Prime Factorization of 6725
Prime factors of 6725 are 5, 269. Prime factorization of 6725 in exponential form is:
6725 = 52 × 2691
Now multiplying the highest exponent prime factors to calculate the LCM of 6716 and 6725.
LCM(6716,6725) = 22 × 231 × 731 × 52 × 2691
LCM(6716,6725) = 45165100
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