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What is the Least Common Multiple of 1928 and 1936?

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 1928 and 1936 is 466576.

LCM(1928,1936) = 466576

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Least Common Multiple of 1928 and 1936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1928 and 1936, than apply into the LCM equation.

GCF(1928,1936) = 8
LCM(1928,1936) = ( 1928 × 1936) / 8
LCM(1928,1936) = 3732608 / 8
LCM(1928,1936) = 466576

Least Common Multiple (LCM) of 1928 and 1936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1928 and 1936. First we will calculate the prime factors of 1928 and 1936.

Prime Factorization of 1928

Prime factors of 1928 are 2, 241. Prime factorization of 1928 in exponential form is:

1928 = 23 × 2411

Prime Factorization of 1936

Prime factors of 1936 are 2, 11. Prime factorization of 1936 in exponential form is:

1936 = 24 × 112

Now multiplying the highest exponent prime factors to calculate the LCM of 1928 and 1936.

LCM(1928,1936) = 24 × 2411 × 112
LCM(1928,1936) = 466576