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What is the Least Common Multiple of 4855 and 4864?

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 4855 and 4864 is 23614720.

LCM(4855,4864) = 23614720

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Least Common Multiple of 4855 and 4864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4855 and 4864, than apply into the LCM equation.

GCF(4855,4864) = 1
LCM(4855,4864) = ( 4855 × 4864) / 1
LCM(4855,4864) = 23614720 / 1
LCM(4855,4864) = 23614720

Least Common Multiple (LCM) of 4855 and 4864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4855 and 4864. First we will calculate the prime factors of 4855 and 4864.

Prime Factorization of 4855

Prime factors of 4855 are 5, 971. Prime factorization of 4855 in exponential form is:

4855 = 51 × 9711

Prime Factorization of 4864

Prime factors of 4864 are 2, 19. Prime factorization of 4864 in exponential form is:

4864 = 28 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 4855 and 4864.

LCM(4855,4864) = 51 × 9711 × 28 × 191
LCM(4855,4864) = 23614720