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What is the Least Common Multiple of 55916 and 55925?

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 55916 and 55925 is 3127102300.

LCM(55916,55925) = 3127102300

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Least Common Multiple of 55916 and 55925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55916 and 55925, than apply into the LCM equation.

GCF(55916,55925) = 1
LCM(55916,55925) = ( 55916 × 55925) / 1
LCM(55916,55925) = 3127102300 / 1
LCM(55916,55925) = 3127102300

Least Common Multiple (LCM) of 55916 and 55925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55916 and 55925. First we will calculate the prime factors of 55916 and 55925.

Prime Factorization of 55916

Prime factors of 55916 are 2, 7, 1997. Prime factorization of 55916 in exponential form is:

55916 = 22 × 71 × 19971

Prime Factorization of 55925

Prime factors of 55925 are 5, 2237. Prime factorization of 55925 in exponential form is:

55925 = 52 × 22371

Now multiplying the highest exponent prime factors to calculate the LCM of 55916 and 55925.

LCM(55916,55925) = 22 × 71 × 19971 × 52 × 22371
LCM(55916,55925) = 3127102300