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What is the Least Common Multiple of 3038 and 3053?

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 3038 and 3053 is 9275014.

LCM(3038,3053) = 9275014

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Least Common Multiple of 3038 and 3053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3038 and 3053, than apply into the LCM equation.

GCF(3038,3053) = 1
LCM(3038,3053) = ( 3038 × 3053) / 1
LCM(3038,3053) = 9275014 / 1
LCM(3038,3053) = 9275014

Least Common Multiple (LCM) of 3038 and 3053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3038 and 3053. First we will calculate the prime factors of 3038 and 3053.

Prime Factorization of 3038

Prime factors of 3038 are 2, 7, 31. Prime factorization of 3038 in exponential form is:

3038 = 21 × 72 × 311

Prime Factorization of 3053

Prime factors of 3053 are 43, 71. Prime factorization of 3053 in exponential form is:

3053 = 431 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 3038 and 3053.

LCM(3038,3053) = 21 × 72 × 311 × 431 × 711
LCM(3038,3053) = 9275014