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What is the Least Common Multiple of 56452 and 56462?

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 56452 and 56462 is 1593696412.

LCM(56452,56462) = 1593696412

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Least Common Multiple of 56452 and 56462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56452 and 56462, than apply into the LCM equation.

GCF(56452,56462) = 2
LCM(56452,56462) = ( 56452 × 56462) / 2
LCM(56452,56462) = 3187392824 / 2
LCM(56452,56462) = 1593696412

Least Common Multiple (LCM) of 56452 and 56462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56452 and 56462. First we will calculate the prime factors of 56452 and 56462.

Prime Factorization of 56452

Prime factors of 56452 are 2, 11, 1283. Prime factorization of 56452 in exponential form is:

56452 = 22 × 111 × 12831

Prime Factorization of 56462

Prime factors of 56462 are 2, 7, 37, 109. Prime factorization of 56462 in exponential form is:

56462 = 21 × 71 × 371 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 56452 and 56462.

LCM(56452,56462) = 22 × 111 × 12831 × 71 × 371 × 1091
LCM(56452,56462) = 1593696412