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What is the Least Common Multiple of 67489 and 67498?

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 67489 and 67498 is 4555372522.

LCM(67489,67498) = 4555372522

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Least Common Multiple of 67489 and 67498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67489 and 67498, than apply into the LCM equation.

GCF(67489,67498) = 1
LCM(67489,67498) = ( 67489 × 67498) / 1
LCM(67489,67498) = 4555372522 / 1
LCM(67489,67498) = 4555372522

Least Common Multiple (LCM) of 67489 and 67498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67489 and 67498. First we will calculate the prime factors of 67489 and 67498.

Prime Factorization of 67489

Prime factors of 67489 are 67489. Prime factorization of 67489 in exponential form is:

67489 = 674891

Prime Factorization of 67498

Prime factors of 67498 are 2, 33749. Prime factorization of 67498 in exponential form is:

67498 = 21 × 337491

Now multiplying the highest exponent prime factors to calculate the LCM of 67489 and 67498.

LCM(67489,67498) = 674891 × 21 × 337491
LCM(67489,67498) = 4555372522