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What is the Least Common Multiple of 67454 and 67466?

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 67454 and 67466 is 2275425782.

LCM(67454,67466) = 2275425782

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Least Common Multiple of 67454 and 67466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67454 and 67466, than apply into the LCM equation.

GCF(67454,67466) = 2
LCM(67454,67466) = ( 67454 × 67466) / 2
LCM(67454,67466) = 4550851564 / 2
LCM(67454,67466) = 2275425782

Least Common Multiple (LCM) of 67454 and 67466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67454 and 67466. First we will calculate the prime factors of 67454 and 67466.

Prime Factorization of 67454

Prime factors of 67454 are 2, 29, 1163. Prime factorization of 67454 in exponential form is:

67454 = 21 × 291 × 11631

Prime Factorization of 67466

Prime factors of 67466 are 2, 7, 61, 79. Prime factorization of 67466 in exponential form is:

67466 = 21 × 71 × 611 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 67454 and 67466.

LCM(67454,67466) = 21 × 291 × 11631 × 71 × 611 × 791
LCM(67454,67466) = 2275425782