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What is the Least Common Multiple of 4142 and 4151?

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 4142 and 4151 is 17193442.

LCM(4142,4151) = 17193442

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Least Common Multiple of 4142 and 4151 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4142 and 4151, than apply into the LCM equation.

GCF(4142,4151) = 1
LCM(4142,4151) = ( 4142 × 4151) / 1
LCM(4142,4151) = 17193442 / 1
LCM(4142,4151) = 17193442

Least Common Multiple (LCM) of 4142 and 4151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4142 and 4151. First we will calculate the prime factors of 4142 and 4151.

Prime Factorization of 4142

Prime factors of 4142 are 2, 19, 109. Prime factorization of 4142 in exponential form is:

4142 = 21 × 191 × 1091

Prime Factorization of 4151

Prime factors of 4151 are 7, 593. Prime factorization of 4151 in exponential form is:

4151 = 71 × 5931

Now multiplying the highest exponent prime factors to calculate the LCM of 4142 and 4151.

LCM(4142,4151) = 21 × 191 × 1091 × 71 × 5931
LCM(4142,4151) = 17193442