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What is the Least Common Multiple of 94132 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 94132 and 94151 is 8862621932.

LCM(94132,94151) = 8862621932

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Least Common Multiple of 94132 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 94132 and 94151, than apply into the LCM equation.

GCF(94132,94151) = 1
LCM(94132,94151) = ( 94132 × 94151) / 1
LCM(94132,94151) = 8862621932 / 1
LCM(94132,94151) = 8862621932

Least Common Multiple (LCM) of 94132 and 94151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94132 and 94151. First we will calculate the prime factors of 94132 and 94151.

Prime Factorization of 94132

Prime factors of 94132 are 2, 101, 233. Prime factorization of 94132 in exponential form is:

94132 = 22 × 1011 × 2331

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 94132 and 94151.

LCM(94132,94151) = 22 × 1011 × 2331 × 941511
LCM(94132,94151) = 8862621932