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What is the Least Common Multiple of 56104 and 56115?

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 56104 and 56115 is 3148275960.

LCM(56104,56115) = 3148275960

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Least Common Multiple of 56104 and 56115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56104 and 56115, than apply into the LCM equation.

GCF(56104,56115) = 1
LCM(56104,56115) = ( 56104 × 56115) / 1
LCM(56104,56115) = 3148275960 / 1
LCM(56104,56115) = 3148275960

Least Common Multiple (LCM) of 56104 and 56115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56104 and 56115. First we will calculate the prime factors of 56104 and 56115.

Prime Factorization of 56104

Prime factors of 56104 are 2, 7013. Prime factorization of 56104 in exponential form is:

56104 = 23 × 70131

Prime Factorization of 56115

Prime factors of 56115 are 3, 5, 29, 43. Prime factorization of 56115 in exponential form is:

56115 = 32 × 51 × 291 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 56104 and 56115.

LCM(56104,56115) = 23 × 70131 × 32 × 51 × 291 × 431
LCM(56104,56115) = 3148275960