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What is the Least Common Multiple of 7037 and 7046?

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 7037 and 7046 is 49582702.

LCM(7037,7046) = 49582702

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Least Common Multiple of 7037 and 7046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7037 and 7046, than apply into the LCM equation.

GCF(7037,7046) = 1
LCM(7037,7046) = ( 7037 × 7046) / 1
LCM(7037,7046) = 49582702 / 1
LCM(7037,7046) = 49582702

Least Common Multiple (LCM) of 7037 and 7046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7037 and 7046. First we will calculate the prime factors of 7037 and 7046.

Prime Factorization of 7037

Prime factors of 7037 are 31, 227. Prime factorization of 7037 in exponential form is:

7037 = 311 × 2271

Prime Factorization of 7046

Prime factors of 7046 are 2, 13, 271. Prime factorization of 7046 in exponential form is:

7046 = 21 × 131 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 7037 and 7046.

LCM(7037,7046) = 311 × 2271 × 21 × 131 × 2711
LCM(7037,7046) = 49582702