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What is the Least Common Multiple of 94142 and 94151?

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 94142 and 94151 is 8863563442.

LCM(94142,94151) = 8863563442

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Least Common Multiple of 94142 and 94151 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94142 and 94151, than apply into the LCM equation.

GCF(94142,94151) = 1
LCM(94142,94151) = ( 94142 × 94151) / 1
LCM(94142,94151) = 8863563442 / 1
LCM(94142,94151) = 8863563442

Least Common Multiple (LCM) of 94142 and 94151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94142 and 94151. First we will calculate the prime factors of 94142 and 94151.

Prime Factorization of 94142

Prime factors of 94142 are 2, 103, 457. Prime factorization of 94142 in exponential form is:

94142 = 21 × 1031 × 4571

Prime Factorization of 94151

Prime factors of 94151 are 94151. Prime factorization of 94151 in exponential form is:

94151 = 941511

Now multiplying the highest exponent prime factors to calculate the LCM of 94142 and 94151.

LCM(94142,94151) = 21 × 1031 × 4571 × 941511
LCM(94142,94151) = 8863563442