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What is the Least Common Multiple of 56069 and 56079?

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 56069 and 56079 is 3144293451.

LCM(56069,56079) = 3144293451

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Least Common Multiple of 56069 and 56079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56069 and 56079, than apply into the LCM equation.

GCF(56069,56079) = 1
LCM(56069,56079) = ( 56069 × 56079) / 1
LCM(56069,56079) = 3144293451 / 1
LCM(56069,56079) = 3144293451

Least Common Multiple (LCM) of 56069 and 56079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56069 and 56079. First we will calculate the prime factors of 56069 and 56079.

Prime Factorization of 56069

Prime factors of 56069 are 13, 19, 227. Prime factorization of 56069 in exponential form is:

56069 = 131 × 191 × 2271

Prime Factorization of 56079

Prime factors of 56079 are 3, 31, 67. Prime factorization of 56079 in exponential form is:

56079 = 33 × 311 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 56069 and 56079.

LCM(56069,56079) = 131 × 191 × 2271 × 33 × 311 × 671
LCM(56069,56079) = 3144293451