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What is the Least Common Multiple of 4799 and 4811?

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 4799 and 4811 is 23087989.

LCM(4799,4811) = 23087989

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Least Common Multiple of 4799 and 4811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4799 and 4811, than apply into the LCM equation.

GCF(4799,4811) = 1
LCM(4799,4811) = ( 4799 × 4811) / 1
LCM(4799,4811) = 23087989 / 1
LCM(4799,4811) = 23087989

Least Common Multiple (LCM) of 4799 and 4811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4799 and 4811. First we will calculate the prime factors of 4799 and 4811.

Prime Factorization of 4799

Prime factors of 4799 are 4799. Prime factorization of 4799 in exponential form is:

4799 = 47991

Prime Factorization of 4811

Prime factors of 4811 are 17, 283. Prime factorization of 4811 in exponential form is:

4811 = 171 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 4799 and 4811.

LCM(4799,4811) = 47991 × 171 × 2831
LCM(4799,4811) = 23087989