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What is the Least Common Multiple of 68032 and 68049?

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 68032 and 68049 is 4629509568.

LCM(68032,68049) = 4629509568

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Least Common Multiple of 68032 and 68049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68032 and 68049, than apply into the LCM equation.

GCF(68032,68049) = 1
LCM(68032,68049) = ( 68032 × 68049) / 1
LCM(68032,68049) = 4629509568 / 1
LCM(68032,68049) = 4629509568

Least Common Multiple (LCM) of 68032 and 68049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68032 and 68049. First we will calculate the prime factors of 68032 and 68049.

Prime Factorization of 68032

Prime factors of 68032 are 2, 1063. Prime factorization of 68032 in exponential form is:

68032 = 26 × 10631

Prime Factorization of 68049

Prime factors of 68049 are 3, 7561. Prime factorization of 68049 in exponential form is:

68049 = 32 × 75611

Now multiplying the highest exponent prime factors to calculate the LCM of 68032 and 68049.

LCM(68032,68049) = 26 × 10631 × 32 × 75611
LCM(68032,68049) = 4629509568