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What is the Least Common Multiple of 4694 and 4704?

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 4694 and 4704 is 11040288.

LCM(4694,4704) = 11040288

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Least Common Multiple of 4694 and 4704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4694 and 4704, than apply into the LCM equation.

GCF(4694,4704) = 2
LCM(4694,4704) = ( 4694 × 4704) / 2
LCM(4694,4704) = 22080576 / 2
LCM(4694,4704) = 11040288

Least Common Multiple (LCM) of 4694 and 4704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4694 and 4704. First we will calculate the prime factors of 4694 and 4704.

Prime Factorization of 4694

Prime factors of 4694 are 2, 2347. Prime factorization of 4694 in exponential form is:

4694 = 21 × 23471

Prime Factorization of 4704

Prime factors of 4704 are 2, 3, 7. Prime factorization of 4704 in exponential form is:

4704 = 25 × 31 × 72

Now multiplying the highest exponent prime factors to calculate the LCM of 4694 and 4704.

LCM(4694,4704) = 25 × 23471 × 31 × 72
LCM(4694,4704) = 11040288