What is the Least Common Multiple of 71708 and 71717?
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 71708 and 71717 is 5142682636.
LCM(71708,71717) = 5142682636
Least Common Multiple of 71708 and 71717 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71708 and 71717, than apply into the LCM equation.
GCF(71708,71717) = 1
LCM(71708,71717) = ( 71708 × 71717) / 1
LCM(71708,71717) = 5142682636 / 1
LCM(71708,71717) = 5142682636
Least Common Multiple (LCM) of 71708 and 71717 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 71708 and 71717. First we will calculate the prime factors of 71708 and 71717.
Prime Factorization of 71708
Prime factors of 71708 are 2, 7, 13, 197. Prime factorization of 71708 in exponential form is:
71708 = 22 × 71 × 131 × 1971
Prime Factorization of 71717
Prime factors of 71717 are 29, 2473. Prime factorization of 71717 in exponential form is:
71717 = 291 × 24731
Now multiplying the highest exponent prime factors to calculate the LCM of 71708 and 71717.
LCM(71708,71717) = 22 × 71 × 131 × 1971 × 291 × 24731
LCM(71708,71717) = 5142682636
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