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What is the Least Common Multiple of 68021 and 68033?

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 68021 and 68033 is 4627672693.

LCM(68021,68033) = 4627672693

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Least Common Multiple of 68021 and 68033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68021 and 68033, than apply into the LCM equation.

GCF(68021,68033) = 1
LCM(68021,68033) = ( 68021 × 68033) / 1
LCM(68021,68033) = 4627672693 / 1
LCM(68021,68033) = 4627672693

Least Common Multiple (LCM) of 68021 and 68033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68021 and 68033. First we will calculate the prime factors of 68021 and 68033.

Prime Factorization of 68021

Prime factors of 68021 are 251, 271. Prime factorization of 68021 in exponential form is:

68021 = 2511 × 2711

Prime Factorization of 68033

Prime factors of 68033 are 7, 9719. Prime factorization of 68033 in exponential form is:

68033 = 71 × 97191

Now multiplying the highest exponent prime factors to calculate the LCM of 68021 and 68033.

LCM(68021,68033) = 2511 × 2711 × 71 × 97191
LCM(68021,68033) = 4627672693