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What is the Least Common Multiple of 54703 and 54709?

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 54703 and 54709 is 2992746427.

LCM(54703,54709) = 2992746427

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Least Common Multiple of 54703 and 54709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54703 and 54709, than apply into the LCM equation.

GCF(54703,54709) = 1
LCM(54703,54709) = ( 54703 × 54709) / 1
LCM(54703,54709) = 2992746427 / 1
LCM(54703,54709) = 2992746427

Least Common Multiple (LCM) of 54703 and 54709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54703 and 54709. First we will calculate the prime factors of 54703 and 54709.

Prime Factorization of 54703

Prime factors of 54703 are 11, 4973. Prime factorization of 54703 in exponential form is:

54703 = 111 × 49731

Prime Factorization of 54709

Prime factors of 54709 are 54709. Prime factorization of 54709 in exponential form is:

54709 = 547091

Now multiplying the highest exponent prime factors to calculate the LCM of 54703 and 54709.

LCM(54703,54709) = 111 × 49731 × 547091
LCM(54703,54709) = 2992746427