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What is the Least Common Multiple of 94142 and 94148?

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 94148 is 4431640508.

LCM(94142,94148) = 4431640508

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Least Common Multiple of 94142 and 94148 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 94148, than apply into the LCM equation.

GCF(94142,94148) = 2
LCM(94142,94148) = ( 94142 × 94148) / 2
LCM(94142,94148) = 8863281016 / 2
LCM(94142,94148) = 4431640508

Least Common Multiple (LCM) of 94142 and 94148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94142 and 94148. First we will calculate the prime factors of 94142 and 94148.

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 94148

Prime factors of 94148 are 2, 23537. Prime factorization of 94148 in exponential form is:

94148 = 22 × 235371

Now multiplying the highest exponent prime factors to calculate the LCM of 94142 and 94148.

LCM(94142,94148) = 22 × 1031 × 4571 × 235371
LCM(94142,94148) = 4431640508