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What is the Least Common Multiple of 54731 and 54742?

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 54742 is 2996084402.

LCM(54731,54742) = 2996084402

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Least Common Multiple of 54731 and 54742 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 54742, than apply into the LCM equation.

GCF(54731,54742) = 1
LCM(54731,54742) = ( 54731 × 54742) / 1
LCM(54731,54742) = 2996084402 / 1
LCM(54731,54742) = 2996084402

Least Common Multiple (LCM) of 54731 and 54742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54731 and 54742. First we will calculate the prime factors of 54731 and 54742.

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 54742

Prime factors of 54742 are 2, 101, 271. Prime factorization of 54742 in exponential form is:

54742 = 21 × 1011 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 54731 and 54742.

LCM(54731,54742) = 2291 × 2391 × 21 × 1011 × 2711
LCM(54731,54742) = 2996084402