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What is the Least Common Multiple of 54688 and 54699?

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 54688 and 54699 is 2991378912.

LCM(54688,54699) = 2991378912

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Least Common Multiple of 54688 and 54699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54688 and 54699, than apply into the LCM equation.

GCF(54688,54699) = 1
LCM(54688,54699) = ( 54688 × 54699) / 1
LCM(54688,54699) = 2991378912 / 1
LCM(54688,54699) = 2991378912

Least Common Multiple (LCM) of 54688 and 54699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54688 and 54699. First we will calculate the prime factors of 54688 and 54699.

Prime Factorization of 54688

Prime factors of 54688 are 2, 1709. Prime factorization of 54688 in exponential form is:

54688 = 25 × 17091

Prime Factorization of 54699

Prime factors of 54699 are 3, 18233. Prime factorization of 54699 in exponential form is:

54699 = 31 × 182331

Now multiplying the highest exponent prime factors to calculate the LCM of 54688 and 54699.

LCM(54688,54699) = 25 × 17091 × 31 × 182331
LCM(54688,54699) = 2991378912