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What is the Least Common Multiple of 56677 and 56696?

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 56677 and 56696 is 169124168.

LCM(56677,56696) = 169124168

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Least Common Multiple of 56677 and 56696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56677 and 56696, than apply into the LCM equation.

GCF(56677,56696) = 19
LCM(56677,56696) = ( 56677 × 56696) / 19
LCM(56677,56696) = 3213359192 / 19
LCM(56677,56696) = 169124168

Least Common Multiple (LCM) of 56677 and 56696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56677 and 56696. First we will calculate the prime factors of 56677 and 56696.

Prime Factorization of 56677

Prime factors of 56677 are 19, 157. Prime factorization of 56677 in exponential form is:

56677 = 192 × 1571

Prime Factorization of 56696

Prime factors of 56696 are 2, 19, 373. Prime factorization of 56696 in exponential form is:

56696 = 23 × 191 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 56677 and 56696.

LCM(56677,56696) = 192 × 1571 × 23 × 3731
LCM(56677,56696) = 169124168