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What is the Least Common Multiple of 56548 and 56562?

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 56548 and 56562 is 1599233988.

LCM(56548,56562) = 1599233988

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Least Common Multiple of 56548 and 56562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56548 and 56562, than apply into the LCM equation.

GCF(56548,56562) = 2
LCM(56548,56562) = ( 56548 × 56562) / 2
LCM(56548,56562) = 3198467976 / 2
LCM(56548,56562) = 1599233988

Least Common Multiple (LCM) of 56548 and 56562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56548 and 56562. First we will calculate the prime factors of 56548 and 56562.

Prime Factorization of 56548

Prime factors of 56548 are 2, 67, 211. Prime factorization of 56548 in exponential form is:

56548 = 22 × 671 × 2111

Prime Factorization of 56562

Prime factors of 56562 are 2, 3, 11, 857. Prime factorization of 56562 in exponential form is:

56562 = 21 × 31 × 111 × 8571

Now multiplying the highest exponent prime factors to calculate the LCM of 56548 and 56562.

LCM(56548,56562) = 22 × 671 × 2111 × 31 × 111 × 8571
LCM(56548,56562) = 1599233988