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What is the Least Common Multiple of 7138 and 7151?

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 7138 and 7151 is 51043838.

LCM(7138,7151) = 51043838

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Least Common Multiple of 7138 and 7151 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7138 and 7151, than apply into the LCM equation.

GCF(7138,7151) = 1
LCM(7138,7151) = ( 7138 × 7151) / 1
LCM(7138,7151) = 51043838 / 1
LCM(7138,7151) = 51043838

Least Common Multiple (LCM) of 7138 and 7151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7138 and 7151. First we will calculate the prime factors of 7138 and 7151.

Prime Factorization of 7138

Prime factors of 7138 are 2, 43, 83. Prime factorization of 7138 in exponential form is:

7138 = 21 × 431 × 831

Prime Factorization of 7151

Prime factors of 7151 are 7151. Prime factorization of 7151 in exponential form is:

7151 = 71511

Now multiplying the highest exponent prime factors to calculate the LCM of 7138 and 7151.

LCM(7138,7151) = 21 × 431 × 831 × 71511
LCM(7138,7151) = 51043838