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What is the Least Common Multiple of 4655 and 4672?

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 4655 and 4672 is 21748160.

LCM(4655,4672) = 21748160

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Least Common Multiple of 4655 and 4672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4655 and 4672, than apply into the LCM equation.

GCF(4655,4672) = 1
LCM(4655,4672) = ( 4655 × 4672) / 1
LCM(4655,4672) = 21748160 / 1
LCM(4655,4672) = 21748160

Least Common Multiple (LCM) of 4655 and 4672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4655 and 4672. First we will calculate the prime factors of 4655 and 4672.

Prime Factorization of 4655

Prime factors of 4655 are 5, 7, 19. Prime factorization of 4655 in exponential form is:

4655 = 51 × 72 × 191

Prime Factorization of 4672

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

4672 = 26 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 4655 and 4672.

LCM(4655,4672) = 51 × 72 × 191 × 26 × 731
LCM(4655,4672) = 21748160