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What is the Least Common Multiple of 7058 and 7076?

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 7058 and 7076 is 24971204.

LCM(7058,7076) = 24971204

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Least Common Multiple of 7058 and 7076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7058 and 7076, than apply into the LCM equation.

GCF(7058,7076) = 2
LCM(7058,7076) = ( 7058 × 7076) / 2
LCM(7058,7076) = 49942408 / 2
LCM(7058,7076) = 24971204

Least Common Multiple (LCM) of 7058 and 7076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7058 and 7076. First we will calculate the prime factors of 7058 and 7076.

Prime Factorization of 7058

Prime factors of 7058 are 2, 3529. Prime factorization of 7058 in exponential form is:

7058 = 21 × 35291

Prime Factorization of 7076

Prime factors of 7076 are 2, 29, 61. Prime factorization of 7076 in exponential form is:

7076 = 22 × 291 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 7058 and 7076.

LCM(7058,7076) = 22 × 35291 × 291 × 611
LCM(7058,7076) = 24971204