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What is the Least Common Multiple of 94507 and 94519?

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 94507 and 94519 is 8932707133.

LCM(94507,94519) = 8932707133

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Least Common Multiple of 94507 and 94519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94507 and 94519, than apply into the LCM equation.

GCF(94507,94519) = 1
LCM(94507,94519) = ( 94507 × 94519) / 1
LCM(94507,94519) = 8932707133 / 1
LCM(94507,94519) = 8932707133

Least Common Multiple (LCM) of 94507 and 94519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94507 and 94519. First we will calculate the prime factors of 94507 and 94519.

Prime Factorization of 94507

Prime factors of 94507 are 7, 23, 587. Prime factorization of 94507 in exponential form is:

94507 = 71 × 231 × 5871

Prime Factorization of 94519

Prime factors of 94519 are 31, 3049. Prime factorization of 94519 in exponential form is:

94519 = 311 × 30491

Now multiplying the highest exponent prime factors to calculate the LCM of 94507 and 94519.

LCM(94507,94519) = 71 × 231 × 5871 × 311 × 30491
LCM(94507,94519) = 8932707133