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What is the Least Common Multiple of 4791 and 4801?

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 4791 and 4801 is 23001591.

LCM(4791,4801) = 23001591

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Least Common Multiple of 4791 and 4801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4791 and 4801, than apply into the LCM equation.

GCF(4791,4801) = 1
LCM(4791,4801) = ( 4791 × 4801) / 1
LCM(4791,4801) = 23001591 / 1
LCM(4791,4801) = 23001591

Least Common Multiple (LCM) of 4791 and 4801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4791 and 4801. First we will calculate the prime factors of 4791 and 4801.

Prime Factorization of 4791

Prime factors of 4791 are 3, 1597. Prime factorization of 4791 in exponential form is:

4791 = 31 × 15971

Prime Factorization of 4801

Prime factors of 4801 are 4801. Prime factorization of 4801 in exponential form is:

4801 = 48011

Now multiplying the highest exponent prime factors to calculate the LCM of 4791 and 4801.

LCM(4791,4801) = 31 × 15971 × 48011
LCM(4791,4801) = 23001591