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What is the Least Common Multiple of 67615 and 67633?

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 67615 and 67633 is 4573005295.

LCM(67615,67633) = 4573005295

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Least Common Multiple of 67615 and 67633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67615 and 67633, than apply into the LCM equation.

GCF(67615,67633) = 1
LCM(67615,67633) = ( 67615 × 67633) / 1
LCM(67615,67633) = 4573005295 / 1
LCM(67615,67633) = 4573005295

Least Common Multiple (LCM) of 67615 and 67633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67615 and 67633. First we will calculate the prime factors of 67615 and 67633.

Prime Factorization of 67615

Prime factors of 67615 are 5, 13523. Prime factorization of 67615 in exponential form is:

67615 = 51 × 135231

Prime Factorization of 67633

Prime factors of 67633 are 47, 1439. Prime factorization of 67633 in exponential form is:

67633 = 471 × 14391

Now multiplying the highest exponent prime factors to calculate the LCM of 67615 and 67633.

LCM(67615,67633) = 51 × 135231 × 471 × 14391
LCM(67615,67633) = 4573005295