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What is the Least Common Multiple of 7142 and 7150?

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 7142 and 7150 is 25532650.

LCM(7142,7150) = 25532650

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Least Common Multiple of 7142 and 7150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7142 and 7150, than apply into the LCM equation.

GCF(7142,7150) = 2
LCM(7142,7150) = ( 7142 × 7150) / 2
LCM(7142,7150) = 51065300 / 2
LCM(7142,7150) = 25532650

Least Common Multiple (LCM) of 7142 and 7150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7142 and 7150. First we will calculate the prime factors of 7142 and 7150.

Prime Factorization of 7142

Prime factors of 7142 are 2, 3571. Prime factorization of 7142 in exponential form is:

7142 = 21 × 35711

Prime Factorization of 7150

Prime factors of 7150 are 2, 5, 11, 13. Prime factorization of 7150 in exponential form is:

7150 = 21 × 52 × 111 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 7142 and 7150.

LCM(7142,7150) = 21 × 35711 × 52 × 111 × 131
LCM(7142,7150) = 25532650