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What is the Least Common Multiple of 56353 and 56364?

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 56353 and 56364 is 288752772.

LCM(56353,56364) = 288752772

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Least Common Multiple of 56353 and 56364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56353 and 56364, than apply into the LCM equation.

GCF(56353,56364) = 11
LCM(56353,56364) = ( 56353 × 56364) / 11
LCM(56353,56364) = 3176280492 / 11
LCM(56353,56364) = 288752772

Least Common Multiple (LCM) of 56353 and 56364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56353 and 56364. First we will calculate the prime factors of 56353 and 56364.

Prime Factorization of 56353

Prime factors of 56353 are 11, 47, 109. Prime factorization of 56353 in exponential form is:

56353 = 111 × 471 × 1091

Prime Factorization of 56364

Prime factors of 56364 are 2, 3, 7, 11, 61. Prime factorization of 56364 in exponential form is:

56364 = 22 × 31 × 71 × 111 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 56353 and 56364.

LCM(56353,56364) = 111 × 471 × 1091 × 22 × 31 × 71 × 611
LCM(56353,56364) = 288752772