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What is the Least Common Multiple of 1933 and 1949?

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 1933 and 1949 is 3767417.

LCM(1933,1949) = 3767417

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Least Common Multiple of 1933 and 1949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1933 and 1949, than apply into the LCM equation.

GCF(1933,1949) = 1
LCM(1933,1949) = ( 1933 × 1949) / 1
LCM(1933,1949) = 3767417 / 1
LCM(1933,1949) = 3767417

Least Common Multiple (LCM) of 1933 and 1949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1933 and 1949. First we will calculate the prime factors of 1933 and 1949.

Prime Factorization of 1933

Prime factors of 1933 are 1933. Prime factorization of 1933 in exponential form is:

1933 = 19331

Prime Factorization of 1949

Prime factors of 1949 are 1949. Prime factorization of 1949 in exponential form is:

1949 = 19491

Now multiplying the highest exponent prime factors to calculate the LCM of 1933 and 1949.

LCM(1933,1949) = 19331 × 19491
LCM(1933,1949) = 3767417