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What is the Least Common Multiple of 67478 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 67478 and 67498 is 2277315022.

LCM(67478,67498) = 2277315022

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Least Common Multiple of 67478 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 67478 and 67498, than apply into the LCM equation.

GCF(67478,67498) = 2
LCM(67478,67498) = ( 67478 × 67498) / 2
LCM(67478,67498) = 4554630044 / 2
LCM(67478,67498) = 2277315022

Least Common Multiple (LCM) of 67478 and 67498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67478 and 67498. First we will calculate the prime factors of 67478 and 67498.

Prime Factorization of 67478

Prime factors of 67478 are 2, 33739. Prime factorization of 67478 in exponential form is:

67478 = 21 × 337391

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 67478 and 67498.

LCM(67478,67498) = 21 × 337391 × 337491
LCM(67478,67498) = 2277315022