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What is the Least Common Multiple of 1922 and 1929?

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 1922 and 1929 is 3707538.

LCM(1922,1929) = 3707538

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Least Common Multiple of 1922 and 1929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1922 and 1929, than apply into the LCM equation.

GCF(1922,1929) = 1
LCM(1922,1929) = ( 1922 × 1929) / 1
LCM(1922,1929) = 3707538 / 1
LCM(1922,1929) = 3707538

Least Common Multiple (LCM) of 1922 and 1929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1922 and 1929. First we will calculate the prime factors of 1922 and 1929.

Prime Factorization of 1922

Prime factors of 1922 are 2, 31. Prime factorization of 1922 in exponential form is:

1922 = 21 × 312

Prime Factorization of 1929

Prime factors of 1929 are 3, 643. Prime factorization of 1929 in exponential form is:

1929 = 31 × 6431

Now multiplying the highest exponent prime factors to calculate the LCM of 1922 and 1929.

LCM(1922,1929) = 21 × 312 × 31 × 6431
LCM(1922,1929) = 3707538