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What is the Least Common Multiple of 10142 and 10158?

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 10142 and 10158 is 51511218.

LCM(10142,10158) = 51511218

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Least Common Multiple of 10142 and 10158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10142 and 10158, than apply into the LCM equation.

GCF(10142,10158) = 2
LCM(10142,10158) = ( 10142 × 10158) / 2
LCM(10142,10158) = 103022436 / 2
LCM(10142,10158) = 51511218

Least Common Multiple (LCM) of 10142 and 10158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10142 and 10158. First we will calculate the prime factors of 10142 and 10158.

Prime Factorization of 10142

Prime factors of 10142 are 2, 11, 461. Prime factorization of 10142 in exponential form is:

10142 = 21 × 111 × 4611

Prime Factorization of 10158

Prime factors of 10158 are 2, 3, 1693. Prime factorization of 10158 in exponential form is:

10158 = 21 × 31 × 16931

Now multiplying the highest exponent prime factors to calculate the LCM of 10142 and 10158.

LCM(10142,10158) = 21 × 111 × 4611 × 31 × 16931
LCM(10142,10158) = 51511218