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What is the Least Common Multiple of 56749 and 56755?

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 56749 and 56755 is 3220789495.

LCM(56749,56755) = 3220789495

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Least Common Multiple of 56749 and 56755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56749 and 56755, than apply into the LCM equation.

GCF(56749,56755) = 1
LCM(56749,56755) = ( 56749 × 56755) / 1
LCM(56749,56755) = 3220789495 / 1
LCM(56749,56755) = 3220789495

Least Common Multiple (LCM) of 56749 and 56755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56749 and 56755. First we will calculate the prime factors of 56749 and 56755.

Prime Factorization of 56749

Prime factors of 56749 are 7, 11, 67. Prime factorization of 56749 in exponential form is:

56749 = 71 × 112 × 671

Prime Factorization of 56755

Prime factors of 56755 are 5, 11351. Prime factorization of 56755 in exponential form is:

56755 = 51 × 113511

Now multiplying the highest exponent prime factors to calculate the LCM of 56749 and 56755.

LCM(56749,56755) = 71 × 112 × 671 × 51 × 113511
LCM(56749,56755) = 3220789495