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What is the Least Common Multiple of 67498 and 67504?

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 67498 and 67504 is 2278192496.

LCM(67498,67504) = 2278192496

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Least Common Multiple of 67498 and 67504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67498 and 67504, than apply into the LCM equation.

GCF(67498,67504) = 2
LCM(67498,67504) = ( 67498 × 67504) / 2
LCM(67498,67504) = 4556384992 / 2
LCM(67498,67504) = 2278192496

Least Common Multiple (LCM) of 67498 and 67504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67498 and 67504. First we will calculate the prime factors of 67498 and 67504.

Prime Factorization of 67498

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

67498 = 21 × 337491

Prime Factorization of 67504

Prime factors of 67504 are 2, 4219. Prime factorization of 67504 in exponential form is:

67504 = 24 × 42191

Now multiplying the highest exponent prime factors to calculate the LCM of 67498 and 67504.

LCM(67498,67504) = 24 × 337491 × 42191
LCM(67498,67504) = 2278192496