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What is the Least Common Multiple of 67658 and 67673?

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 67658 and 67673 is 4578619834.

LCM(67658,67673) = 4578619834

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Least Common Multiple of 67658 and 67673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67658 and 67673, than apply into the LCM equation.

GCF(67658,67673) = 1
LCM(67658,67673) = ( 67658 × 67673) / 1
LCM(67658,67673) = 4578619834 / 1
LCM(67658,67673) = 4578619834

Least Common Multiple (LCM) of 67658 and 67673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67658 and 67673. First we will calculate the prime factors of 67658 and 67673.

Prime Factorization of 67658

Prime factors of 67658 are 2, 33829. Prime factorization of 67658 in exponential form is:

67658 = 21 × 338291

Prime Factorization of 67673

Prime factors of 67673 are 31, 37, 59. Prime factorization of 67673 in exponential form is:

67673 = 311 × 371 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 67658 and 67673.

LCM(67658,67673) = 21 × 338291 × 311 × 371 × 591
LCM(67658,67673) = 4578619834