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What is the Least Common Multiple of 5034 and 5042?

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 5034 and 5042 is 12690714.

LCM(5034,5042) = 12690714

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Least Common Multiple of 5034 and 5042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5034 and 5042, than apply into the LCM equation.

GCF(5034,5042) = 2
LCM(5034,5042) = ( 5034 × 5042) / 2
LCM(5034,5042) = 25381428 / 2
LCM(5034,5042) = 12690714

Least Common Multiple (LCM) of 5034 and 5042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5034 and 5042. First we will calculate the prime factors of 5034 and 5042.

Prime Factorization of 5034

Prime factors of 5034 are 2, 3, 839. Prime factorization of 5034 in exponential form is:

5034 = 21 × 31 × 8391

Prime Factorization of 5042

Prime factors of 5042 are 2, 2521. Prime factorization of 5042 in exponential form is:

5042 = 21 × 25211

Now multiplying the highest exponent prime factors to calculate the LCM of 5034 and 5042.

LCM(5034,5042) = 21 × 31 × 8391 × 25211
LCM(5034,5042) = 12690714