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What is the Least Common Multiple of 7121 and 7138?

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 7121 and 7138 is 50829698.

LCM(7121,7138) = 50829698

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Least Common Multiple of 7121 and 7138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7121 and 7138, than apply into the LCM equation.

GCF(7121,7138) = 1
LCM(7121,7138) = ( 7121 × 7138) / 1
LCM(7121,7138) = 50829698 / 1
LCM(7121,7138) = 50829698

Least Common Multiple (LCM) of 7121 and 7138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7121 and 7138. First we will calculate the prime factors of 7121 and 7138.

Prime Factorization of 7121

Prime factors of 7121 are 7121. Prime factorization of 7121 in exponential form is:

7121 = 71211

Prime Factorization of 7138

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

7138 = 21 × 431 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 7121 and 7138.

LCM(7121,7138) = 71211 × 21 × 431 × 831
LCM(7121,7138) = 50829698