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What is the Least Common Multiple of 67130 and 67149?

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 67130 and 67149 is 4507712370.

LCM(67130,67149) = 4507712370

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Least Common Multiple of 67130 and 67149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67130 and 67149, than apply into the LCM equation.

GCF(67130,67149) = 1
LCM(67130,67149) = ( 67130 × 67149) / 1
LCM(67130,67149) = 4507712370 / 1
LCM(67130,67149) = 4507712370

Least Common Multiple (LCM) of 67130 and 67149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67130 and 67149. First we will calculate the prime factors of 67130 and 67149.

Prime Factorization of 67130

Prime factors of 67130 are 2, 5, 7, 137. Prime factorization of 67130 in exponential form is:

67130 = 21 × 51 × 72 × 1371

Prime Factorization of 67149

Prime factors of 67149 are 3, 829. Prime factorization of 67149 in exponential form is:

67149 = 34 × 8291

Now multiplying the highest exponent prime factors to calculate the LCM of 67130 and 67149.

LCM(67130,67149) = 21 × 51 × 72 × 1371 × 34 × 8291
LCM(67130,67149) = 4507712370