What is the Least Common Multiple of 702 and 716?
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 702 and 716 is 251316.
LCM(702,716) = 251316
Least Common Multiple of 702 and 716 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 702 and 716, than apply into the LCM equation.
GCF(702,716) = 2
LCM(702,716) = ( 702 × 716) / 2
LCM(702,716) = 502632 / 2
LCM(702,716) = 251316
Least Common Multiple (LCM) of 702 and 716 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 702 and 716. First we will calculate the prime factors of 702 and 716.
Prime Factorization of 702
Prime factors of 702 are 2, 3, 13. Prime factorization of 702 in exponential form is:
702 = 21 × 33 × 131
Prime Factorization of 716
Prime factors of 716 are 2, 179. Prime factorization of 716 in exponential form is:
716 = 22 × 1791
Now multiplying the highest exponent prime factors to calculate the LCM of 702 and 716.
LCM(702,716) = 22 × 33 × 131 × 1791
LCM(702,716) = 251316
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