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What is the Least Common Multiple of 56522 and 56540?

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 56522 and 56540 is 1597876940.

LCM(56522,56540) = 1597876940

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Least Common Multiple of 56522 and 56540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56522 and 56540, than apply into the LCM equation.

GCF(56522,56540) = 2
LCM(56522,56540) = ( 56522 × 56540) / 2
LCM(56522,56540) = 3195753880 / 2
LCM(56522,56540) = 1597876940

Least Common Multiple (LCM) of 56522 and 56540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56522 and 56540. First we will calculate the prime factors of 56522 and 56540.

Prime Factorization of 56522

Prime factors of 56522 are 2, 59, 479. Prime factorization of 56522 in exponential form is:

56522 = 21 × 591 × 4791

Prime Factorization of 56540

Prime factors of 56540 are 2, 5, 11, 257. Prime factorization of 56540 in exponential form is:

56540 = 22 × 51 × 111 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 56522 and 56540.

LCM(56522,56540) = 22 × 591 × 4791 × 51 × 111 × 2571
LCM(56522,56540) = 1597876940