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What is the Least Common Multiple of 67474 and 67487?

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 67474 and 67487 is 4553617838.

LCM(67474,67487) = 4553617838

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Least Common Multiple of 67474 and 67487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67474 and 67487, than apply into the LCM equation.

GCF(67474,67487) = 1
LCM(67474,67487) = ( 67474 × 67487) / 1
LCM(67474,67487) = 4553617838 / 1
LCM(67474,67487) = 4553617838

Least Common Multiple (LCM) of 67474 and 67487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67474 and 67487. First we will calculate the prime factors of 67474 and 67487.

Prime Factorization of 67474

Prime factors of 67474 are 2, 11, 3067. Prime factorization of 67474 in exponential form is:

67474 = 21 × 111 × 30671

Prime Factorization of 67487

Prime factors of 67487 are 7, 31, 311. Prime factorization of 67487 in exponential form is:

67487 = 71 × 311 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 67474 and 67487.

LCM(67474,67487) = 21 × 111 × 30671 × 71 × 311 × 3111
LCM(67474,67487) = 4553617838