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What is the Least Common Multiple of 54799 and 54813?

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 54799 and 54813 is 3003697587.

LCM(54799,54813) = 3003697587

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Least Common Multiple of 54799 and 54813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54799 and 54813, than apply into the LCM equation.

GCF(54799,54813) = 1
LCM(54799,54813) = ( 54799 × 54813) / 1
LCM(54799,54813) = 3003697587 / 1
LCM(54799,54813) = 3003697587

Least Common Multiple (LCM) of 54799 and 54813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54799 and 54813. First we will calculate the prime factors of 54799 and 54813.

Prime Factorization of 54799

Prime factors of 54799 are 54799. Prime factorization of 54799 in exponential form is:

54799 = 547991

Prime Factorization of 54813

Prime factors of 54813 are 3, 11, 151. Prime factorization of 54813 in exponential form is:

54813 = 31 × 112 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 54799 and 54813.

LCM(54799,54813) = 547991 × 31 × 112 × 1511
LCM(54799,54813) = 3003697587