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What is the Least Common Multiple of 54731 and 54749?

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 54731 and 54749 is 2996467519.

LCM(54731,54749) = 2996467519

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Least Common Multiple of 54731 and 54749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54731 and 54749, than apply into the LCM equation.

GCF(54731,54749) = 1
LCM(54731,54749) = ( 54731 × 54749) / 1
LCM(54731,54749) = 2996467519 / 1
LCM(54731,54749) = 2996467519

Least Common Multiple (LCM) of 54731 and 54749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54731 and 54749. First we will calculate the prime factors of 54731 and 54749.

Prime Factorization of 54731

Prime factors of 54731 are 229, 239. Prime factorization of 54731 in exponential form is:

54731 = 2291 × 2391

Prime Factorization of 54749

Prime factors of 54749 are 53, 1033. Prime factorization of 54749 in exponential form is:

54749 = 531 × 10331

Now multiplying the highest exponent prime factors to calculate the LCM of 54731 and 54749.

LCM(54731,54749) = 2291 × 2391 × 531 × 10331
LCM(54731,54749) = 2996467519