What is the Least Common Multiple of 4678 and 4694?
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 4678 and 4694 is 10979266.
LCM(4678,4694) = 10979266
Least Common Multiple of 4678 and 4694 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4678 and 4694, than apply into the LCM equation.
GCF(4678,4694) = 2
LCM(4678,4694) = ( 4678 × 4694) / 2
LCM(4678,4694) = 21958532 / 2
LCM(4678,4694) = 10979266
Least Common Multiple (LCM) of 4678 and 4694 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4678 and 4694. First we will calculate the prime factors of 4678 and 4694.
Prime Factorization of 4678
Prime factors of 4678 are 2, 2339. Prime factorization of 4678 in exponential form is:
4678 = 21 × 23391
Prime Factorization of 4694
Prime factors of 4694 are 2, 2347. Prime factorization of 4694 in exponential form is:
4694 = 21 × 23471
Now multiplying the highest exponent prime factors to calculate the LCM of 4678 and 4694.
LCM(4678,4694) = 21 × 23391 × 23471
LCM(4678,4694) = 10979266
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