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What is the Least Common Multiple of 4672 and 4685?

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 4672 and 4685 is 21888320.

LCM(4672,4685) = 21888320

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Least Common Multiple of 4672 and 4685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4672 and 4685, than apply into the LCM equation.

GCF(4672,4685) = 1
LCM(4672,4685) = ( 4672 × 4685) / 1
LCM(4672,4685) = 21888320 / 1
LCM(4672,4685) = 21888320

Least Common Multiple (LCM) of 4672 and 4685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4672 and 4685. First we will calculate the prime factors of 4672 and 4685.

Prime Factorization of 4672

Prime factors of 4672 are 2, 73. Prime factorization of 4672 in exponential form is:

4672 = 26 × 731

Prime Factorization of 4685

Prime factors of 4685 are 5, 937. Prime factorization of 4685 in exponential form is:

4685 = 51 × 9371

Now multiplying the highest exponent prime factors to calculate the LCM of 4672 and 4685.

LCM(4672,4685) = 26 × 731 × 51 × 9371
LCM(4672,4685) = 21888320