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What is the Least Common Multiple of 54752 and 54763?

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 54752 and 54763 is 2998383776.

LCM(54752,54763) = 2998383776

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Least Common Multiple of 54752 and 54763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54752 and 54763, than apply into the LCM equation.

GCF(54752,54763) = 1
LCM(54752,54763) = ( 54752 × 54763) / 1
LCM(54752,54763) = 2998383776 / 1
LCM(54752,54763) = 2998383776

Least Common Multiple (LCM) of 54752 and 54763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54752 and 54763. First we will calculate the prime factors of 54752 and 54763.

Prime Factorization of 54752

Prime factors of 54752 are 2, 29, 59. Prime factorization of 54752 in exponential form is:

54752 = 25 × 291 × 591

Prime Factorization of 54763

Prime factors of 54763 are 23, 2381. Prime factorization of 54763 in exponential form is:

54763 = 231 × 23811

Now multiplying the highest exponent prime factors to calculate the LCM of 54752 and 54763.

LCM(54752,54763) = 25 × 291 × 591 × 231 × 23811
LCM(54752,54763) = 2998383776