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What is the Least Common Multiple of 55924 and 55936?

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 55924 and 55936 is 782041216.

LCM(55924,55936) = 782041216

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Least Common Multiple of 55924 and 55936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55924 and 55936, than apply into the LCM equation.

GCF(55924,55936) = 4
LCM(55924,55936) = ( 55924 × 55936) / 4
LCM(55924,55936) = 3128164864 / 4
LCM(55924,55936) = 782041216

Least Common Multiple (LCM) of 55924 and 55936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55924 and 55936. First we will calculate the prime factors of 55924 and 55936.

Prime Factorization of 55924

Prime factors of 55924 are 2, 11, 31, 41. Prime factorization of 55924 in exponential form is:

55924 = 22 × 111 × 311 × 411

Prime Factorization of 55936

Prime factors of 55936 are 2, 19, 23. Prime factorization of 55936 in exponential form is:

55936 = 27 × 191 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 55924 and 55936.

LCM(55924,55936) = 27 × 111 × 311 × 411 × 191 × 231
LCM(55924,55936) = 782041216