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What is the Least Common Multiple of 67890 and 67903?

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 67890 and 67903 is 4609934670.

LCM(67890,67903) = 4609934670

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Least Common Multiple of 67890 and 67903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67890 and 67903, than apply into the LCM equation.

GCF(67890,67903) = 1
LCM(67890,67903) = ( 67890 × 67903) / 1
LCM(67890,67903) = 4609934670 / 1
LCM(67890,67903) = 4609934670

Least Common Multiple (LCM) of 67890 and 67903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67890 and 67903. First we will calculate the prime factors of 67890 and 67903.

Prime Factorization of 67890

Prime factors of 67890 are 2, 3, 5, 31, 73. Prime factorization of 67890 in exponential form is:

67890 = 21 × 31 × 51 × 311 × 731

Prime Factorization of 67903

Prime factors of 67903 are 11, 6173. Prime factorization of 67903 in exponential form is:

67903 = 111 × 61731

Now multiplying the highest exponent prime factors to calculate the LCM of 67890 and 67903.

LCM(67890,67903) = 21 × 31 × 51 × 311 × 731 × 111 × 61731
LCM(67890,67903) = 4609934670