What is the Least Common Multiple of 4697 and 4706?
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 4697 and 4706 is 22104082.
LCM(4697,4706) = 22104082
Least Common Multiple of 4697 and 4706 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4697 and 4706, than apply into the LCM equation.
GCF(4697,4706) = 1
LCM(4697,4706) = ( 4697 × 4706) / 1
LCM(4697,4706) = 22104082 / 1
LCM(4697,4706) = 22104082
Least Common Multiple (LCM) of 4697 and 4706 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4697 and 4706. First we will calculate the prime factors of 4697 and 4706.
Prime Factorization of 4697
Prime factors of 4697 are 7, 11, 61. Prime factorization of 4697 in exponential form is:
4697 = 71 × 111 × 611
Prime Factorization of 4706
Prime factors of 4706 are 2, 13, 181. Prime factorization of 4706 in exponential form is:
4706 = 21 × 131 × 1811
Now multiplying the highest exponent prime factors to calculate the LCM of 4697 and 4706.
LCM(4697,4706) = 71 × 111 × 611 × 21 × 131 × 1811
LCM(4697,4706) = 22104082
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