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What is the Least Common Multiple of 56360 and 56369?

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 56360 and 56369 is 3176956840.

LCM(56360,56369) = 3176956840

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Least Common Multiple of 56360 and 56369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56360 and 56369, than apply into the LCM equation.

GCF(56360,56369) = 1
LCM(56360,56369) = ( 56360 × 56369) / 1
LCM(56360,56369) = 3176956840 / 1
LCM(56360,56369) = 3176956840

Least Common Multiple (LCM) of 56360 and 56369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56360 and 56369. First we will calculate the prime factors of 56360 and 56369.

Prime Factorization of 56360

Prime factors of 56360 are 2, 5, 1409. Prime factorization of 56360 in exponential form is:

56360 = 23 × 51 × 14091

Prime Factorization of 56369

Prime factors of 56369 are 56369. Prime factorization of 56369 in exponential form is:

56369 = 563691

Now multiplying the highest exponent prime factors to calculate the LCM of 56360 and 56369.

LCM(56360,56369) = 23 × 51 × 14091 × 563691
LCM(56360,56369) = 3176956840