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What is the Least Common Multiple of 54754 and 54771?

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 54754 and 54771 is 2998931334.

LCM(54754,54771) = 2998931334

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Least Common Multiple of 54754 and 54771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54754 and 54771, than apply into the LCM equation.

GCF(54754,54771) = 1
LCM(54754,54771) = ( 54754 × 54771) / 1
LCM(54754,54771) = 2998931334 / 1
LCM(54754,54771) = 2998931334

Least Common Multiple (LCM) of 54754 and 54771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54754 and 54771. First we will calculate the prime factors of 54754 and 54771.

Prime Factorization of 54754

Prime factors of 54754 are 2, 7, 3911. Prime factorization of 54754 in exponential form is:

54754 = 21 × 71 × 39111

Prime Factorization of 54771

Prime factors of 54771 are 3, 18257. Prime factorization of 54771 in exponential form is:

54771 = 31 × 182571

Now multiplying the highest exponent prime factors to calculate the LCM of 54754 and 54771.

LCM(54754,54771) = 21 × 71 × 39111 × 31 × 182571
LCM(54754,54771) = 2998931334