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What is the Least Common Multiple of 55902 and 55916?

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 55902 and 55916 is 223272588.

LCM(55902,55916) = 223272588

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Least Common Multiple of 55902 and 55916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55902 and 55916, than apply into the LCM equation.

GCF(55902,55916) = 14
LCM(55902,55916) = ( 55902 × 55916) / 14
LCM(55902,55916) = 3125816232 / 14
LCM(55902,55916) = 223272588

Least Common Multiple (LCM) of 55902 and 55916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55902 and 55916. First we will calculate the prime factors of 55902 and 55916.

Prime Factorization of 55902

Prime factors of 55902 are 2, 3, 7, 11. Prime factorization of 55902 in exponential form is:

55902 = 21 × 31 × 71 × 113

Prime Factorization of 55916

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

55916 = 22 × 71 × 19971

Now multiplying the highest exponent prime factors to calculate the LCM of 55902 and 55916.

LCM(55902,55916) = 22 × 31 × 71 × 113 × 19971
LCM(55902,55916) = 223272588