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What is the Least Common Multiple of 56537 and 56551?

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 56537 and 56551 is 3197223887.

LCM(56537,56551) = 3197223887

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Least Common Multiple of 56537 and 56551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56537 and 56551, than apply into the LCM equation.

GCF(56537,56551) = 1
LCM(56537,56551) = ( 56537 × 56551) / 1
LCM(56537,56551) = 3197223887 / 1
LCM(56537,56551) = 3197223887

Least Common Multiple (LCM) of 56537 and 56551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56537 and 56551. First we will calculate the prime factors of 56537 and 56551.

Prime Factorization of 56537

Prime factors of 56537 are 13, 4349. Prime factorization of 56537 in exponential form is:

56537 = 131 × 43491

Prime Factorization of 56551

Prime factors of 56551 are 11, 53, 97. Prime factorization of 56551 in exponential form is:

56551 = 111 × 531 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 56537 and 56551.

LCM(56537,56551) = 131 × 43491 × 111 × 531 × 971
LCM(56537,56551) = 3197223887