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What is the Least Common Multiple of 67840 and 67845?

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 67840 and 67845 is 920520960.

LCM(67840,67845) = 920520960

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Least Common Multiple of 67840 and 67845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67840 and 67845, than apply into the LCM equation.

GCF(67840,67845) = 5
LCM(67840,67845) = ( 67840 × 67845) / 5
LCM(67840,67845) = 4602604800 / 5
LCM(67840,67845) = 920520960

Least Common Multiple (LCM) of 67840 and 67845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67840 and 67845. First we will calculate the prime factors of 67840 and 67845.

Prime Factorization of 67840

Prime factors of 67840 are 2, 5, 53. Prime factorization of 67840 in exponential form is:

67840 = 28 × 51 × 531

Prime Factorization of 67845

Prime factors of 67845 are 3, 5, 4523. Prime factorization of 67845 in exponential form is:

67845 = 31 × 51 × 45231

Now multiplying the highest exponent prime factors to calculate the LCM of 67840 and 67845.

LCM(67840,67845) = 28 × 51 × 531 × 31 × 45231
LCM(67840,67845) = 920520960