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What is the Least Common Multiple of 67464 and 67478?

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 67464 and 67478 is 2276167896.

LCM(67464,67478) = 2276167896

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Least Common Multiple of 67464 and 67478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67464 and 67478, than apply into the LCM equation.

GCF(67464,67478) = 2
LCM(67464,67478) = ( 67464 × 67478) / 2
LCM(67464,67478) = 4552335792 / 2
LCM(67464,67478) = 2276167896

Least Common Multiple (LCM) of 67464 and 67478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67464 and 67478. First we will calculate the prime factors of 67464 and 67478.

Prime Factorization of 67464

Prime factors of 67464 are 2, 3, 937. Prime factorization of 67464 in exponential form is:

67464 = 23 × 32 × 9371

Prime Factorization of 67478

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

67478 = 21 × 337391

Now multiplying the highest exponent prime factors to calculate the LCM of 67464 and 67478.

LCM(67464,67478) = 23 × 32 × 9371 × 337391
LCM(67464,67478) = 2276167896