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What is the Least Common Multiple of 1907 and 1922?

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 1907 and 1922 is 3665254.

LCM(1907,1922) = 3665254

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Least Common Multiple of 1907 and 1922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1907 and 1922, than apply into the LCM equation.

GCF(1907,1922) = 1
LCM(1907,1922) = ( 1907 × 1922) / 1
LCM(1907,1922) = 3665254 / 1
LCM(1907,1922) = 3665254

Least Common Multiple (LCM) of 1907 and 1922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1907 and 1922. First we will calculate the prime factors of 1907 and 1922.

Prime Factorization of 1907

Prime factors of 1907 are 1907. Prime factorization of 1907 in exponential form is:

1907 = 19071

Prime Factorization of 1922

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

1922 = 21 × 312

Now multiplying the highest exponent prime factors to calculate the LCM of 1907 and 1922.

LCM(1907,1922) = 19071 × 21 × 312
LCM(1907,1922) = 3665254