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What is the Least Common Multiple of 67021 and 67033?

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 67021 and 67033 is 4492618693.

LCM(67021,67033) = 4492618693

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Least Common Multiple of 67021 and 67033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67021 and 67033, than apply into the LCM equation.

GCF(67021,67033) = 1
LCM(67021,67033) = ( 67021 × 67033) / 1
LCM(67021,67033) = 4492618693 / 1
LCM(67021,67033) = 4492618693

Least Common Multiple (LCM) of 67021 and 67033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67021 and 67033. First we will calculate the prime factors of 67021 and 67033.

Prime Factorization of 67021

Prime factors of 67021 are 67021. Prime factorization of 67021 in exponential form is:

67021 = 670211

Prime Factorization of 67033

Prime factors of 67033 are 67033. Prime factorization of 67033 in exponential form is:

67033 = 670331

Now multiplying the highest exponent prime factors to calculate the LCM of 67021 and 67033.

LCM(67021,67033) = 670211 × 670331
LCM(67021,67033) = 4492618693