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What is the Least Common Multiple of 56245 and 56257?

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 56245 and 56257 is 3164174965.

LCM(56245,56257) = 3164174965

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Least Common Multiple of 56245 and 56257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56245 and 56257, than apply into the LCM equation.

GCF(56245,56257) = 1
LCM(56245,56257) = ( 56245 × 56257) / 1
LCM(56245,56257) = 3164174965 / 1
LCM(56245,56257) = 3164174965

Least Common Multiple (LCM) of 56245 and 56257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56245 and 56257. First we will calculate the prime factors of 56245 and 56257.

Prime Factorization of 56245

Prime factors of 56245 are 5, 7, 1607. Prime factorization of 56245 in exponential form is:

56245 = 51 × 71 × 16071

Prime Factorization of 56257

Prime factors of 56257 are 101, 557. Prime factorization of 56257 in exponential form is:

56257 = 1011 × 5571

Now multiplying the highest exponent prime factors to calculate the LCM of 56245 and 56257.

LCM(56245,56257) = 51 × 71 × 16071 × 1011 × 5571
LCM(56245,56257) = 3164174965