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What is the Least Common Multiple of 20919 and 20935?

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 20919 and 20935 is 437939265.

LCM(20919,20935) = 437939265

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Least Common Multiple of 20919 and 20935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20919 and 20935, than apply into the LCM equation.

GCF(20919,20935) = 1
LCM(20919,20935) = ( 20919 × 20935) / 1
LCM(20919,20935) = 437939265 / 1
LCM(20919,20935) = 437939265

Least Common Multiple (LCM) of 20919 and 20935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20919 and 20935. First we will calculate the prime factors of 20919 and 20935.

Prime Factorization of 20919

Prime factors of 20919 are 3, 19, 367. Prime factorization of 20919 in exponential form is:

20919 = 31 × 191 × 3671

Prime Factorization of 20935

Prime factors of 20935 are 5, 53, 79. Prime factorization of 20935 in exponential form is:

20935 = 51 × 531 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 20919 and 20935.

LCM(20919,20935) = 31 × 191 × 3671 × 51 × 531 × 791
LCM(20919,20935) = 437939265