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What is the Least Common Multiple of 56049 and 56068?

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 56049 and 56068 is 3142555332.

LCM(56049,56068) = 3142555332

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Least Common Multiple of 56049 and 56068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56049 and 56068, than apply into the LCM equation.

GCF(56049,56068) = 1
LCM(56049,56068) = ( 56049 × 56068) / 1
LCM(56049,56068) = 3142555332 / 1
LCM(56049,56068) = 3142555332

Least Common Multiple (LCM) of 56049 and 56068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56049 and 56068. First we will calculate the prime factors of 56049 and 56068.

Prime Factorization of 56049

Prime factors of 56049 are 3, 7, 17, 157. Prime factorization of 56049 in exponential form is:

56049 = 31 × 71 × 171 × 1571

Prime Factorization of 56068

Prime factors of 56068 are 2, 107, 131. Prime factorization of 56068 in exponential form is:

56068 = 22 × 1071 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 56049 and 56068.

LCM(56049,56068) = 31 × 71 × 171 × 1571 × 22 × 1071 × 1311
LCM(56049,56068) = 3142555332