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What is the Least Common Multiple of 54749 and 54768?

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 54749 and 54768 is 2998493232.

LCM(54749,54768) = 2998493232

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Least Common Multiple of 54749 and 54768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54749 and 54768, than apply into the LCM equation.

GCF(54749,54768) = 1
LCM(54749,54768) = ( 54749 × 54768) / 1
LCM(54749,54768) = 2998493232 / 1
LCM(54749,54768) = 2998493232

Least Common Multiple (LCM) of 54749 and 54768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54749 and 54768. First we will calculate the prime factors of 54749 and 54768.

Prime Factorization of 54749

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

54749 = 531 × 10331

Prime Factorization of 54768

Prime factors of 54768 are 2, 3, 7, 163. Prime factorization of 54768 in exponential form is:

54768 = 24 × 31 × 71 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 54749 and 54768.

LCM(54749,54768) = 531 × 10331 × 24 × 31 × 71 × 1631
LCM(54749,54768) = 2998493232