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What is the Least Common Multiple of 54696 and 54703?

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 54696 and 54703 is 2992035288.

LCM(54696,54703) = 2992035288

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Least Common Multiple of 54696 and 54703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54696 and 54703, than apply into the LCM equation.

GCF(54696,54703) = 1
LCM(54696,54703) = ( 54696 × 54703) / 1
LCM(54696,54703) = 2992035288 / 1
LCM(54696,54703) = 2992035288

Least Common Multiple (LCM) of 54696 and 54703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54696 and 54703. First we will calculate the prime factors of 54696 and 54703.

Prime Factorization of 54696

Prime factors of 54696 are 2, 3, 43, 53. Prime factorization of 54696 in exponential form is:

54696 = 23 × 31 × 431 × 531

Prime Factorization of 54703

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

54703 = 111 × 49731

Now multiplying the highest exponent prime factors to calculate the LCM of 54696 and 54703.

LCM(54696,54703) = 23 × 31 × 431 × 531 × 111 × 49731
LCM(54696,54703) = 2992035288