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What is the Least Common Multiple of 67915 and 67933?

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 67915 and 67933 is 4613669695.

LCM(67915,67933) = 4613669695

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Least Common Multiple of 67915 and 67933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67915 and 67933, than apply into the LCM equation.

GCF(67915,67933) = 1
LCM(67915,67933) = ( 67915 × 67933) / 1
LCM(67915,67933) = 4613669695 / 1
LCM(67915,67933) = 4613669695

Least Common Multiple (LCM) of 67915 and 67933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67915 and 67933. First we will calculate the prime factors of 67915 and 67933.

Prime Factorization of 67915

Prime factors of 67915 are 5, 17, 47. Prime factorization of 67915 in exponential form is:

67915 = 51 × 172 × 471

Prime Factorization of 67933

Prime factors of 67933 are 67933. Prime factorization of 67933 in exponential form is:

67933 = 679331

Now multiplying the highest exponent prime factors to calculate the LCM of 67915 and 67933.

LCM(67915,67933) = 51 × 172 × 471 × 679331
LCM(67915,67933) = 4613669695