What is the Least Common Multiple of 714 and 733?
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 714 and 733 is 523362.
LCM(714,733) = 523362
Least Common Multiple of 714 and 733 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 714 and 733, than apply into the LCM equation.
GCF(714,733) = 1
LCM(714,733) = ( 714 × 733) / 1
LCM(714,733) = 523362 / 1
LCM(714,733) = 523362
Least Common Multiple (LCM) of 714 and 733 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 714 and 733. First we will calculate the prime factors of 714 and 733.
Prime Factorization of 714
Prime factors of 714 are 2, 3, 7, 17. Prime factorization of 714 in exponential form is:
714 = 21 × 31 × 71 × 171
Prime Factorization of 733
Prime factors of 733 are 733. Prime factorization of 733 in exponential form is:
733 = 7331
Now multiplying the highest exponent prime factors to calculate the LCM of 714 and 733.
LCM(714,733) = 21 × 31 × 71 × 171 × 7331
LCM(714,733) = 523362
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