What is the Least Common Multiple of 706 and 713?
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 706 and 713 is 503378.
LCM(706,713) = 503378
Least Common Multiple of 706 and 713 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 706 and 713, than apply into the LCM equation.
GCF(706,713) = 1
LCM(706,713) = ( 706 × 713) / 1
LCM(706,713) = 503378 / 1
LCM(706,713) = 503378
Least Common Multiple (LCM) of 706 and 713 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 706 and 713. First we will calculate the prime factors of 706 and 713.
Prime Factorization of 706
Prime factors of 706 are 2, 353. Prime factorization of 706 in exponential form is:
706 = 21 × 3531
Prime Factorization of 713
Prime factors of 713 are 23, 31. Prime factorization of 713 in exponential form is:
713 = 231 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 706 and 713.
LCM(706,713) = 21 × 3531 × 231 × 311
LCM(706,713) = 503378
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