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What is the Least Common Multiple of 56104 and 56108?

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 56108 is 786970808.

LCM(56104,56108) = 786970808

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Least Common Multiple of 56104 and 56108 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 56108, than apply into the LCM equation.

GCF(56104,56108) = 4
LCM(56104,56108) = ( 56104 × 56108) / 4
LCM(56104,56108) = 3147883232 / 4
LCM(56104,56108) = 786970808

Least Common Multiple (LCM) of 56104 and 56108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56104 and 56108. First we will calculate the prime factors of 56104 and 56108.

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 56108

Prime factors of 56108 are 2, 13, 83. Prime factorization of 56108 in exponential form is:

56108 = 22 × 132 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 56104 and 56108.

LCM(56104,56108) = 23 × 70131 × 132 × 831
LCM(56104,56108) = 786970808