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What is the Least Common Multiple of 7053 and 7066?

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 7053 and 7066 is 49836498.

LCM(7053,7066) = 49836498

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Least Common Multiple of 7053 and 7066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7053 and 7066, than apply into the LCM equation.

GCF(7053,7066) = 1
LCM(7053,7066) = ( 7053 × 7066) / 1
LCM(7053,7066) = 49836498 / 1
LCM(7053,7066) = 49836498

Least Common Multiple (LCM) of 7053 and 7066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7053 and 7066. First we will calculate the prime factors of 7053 and 7066.

Prime Factorization of 7053

Prime factors of 7053 are 3, 2351. Prime factorization of 7053 in exponential form is:

7053 = 31 × 23511

Prime Factorization of 7066

Prime factors of 7066 are 2, 3533. Prime factorization of 7066 in exponential form is:

7066 = 21 × 35331

Now multiplying the highest exponent prime factors to calculate the LCM of 7053 and 7066.

LCM(7053,7066) = 31 × 23511 × 21 × 35331
LCM(7053,7066) = 49836498