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What is the Least Common Multiple of 94506 and 94514?

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 94506 and 94514 is 4466070042.

LCM(94506,94514) = 4466070042

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Least Common Multiple of 94506 and 94514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94506 and 94514, than apply into the LCM equation.

GCF(94506,94514) = 2
LCM(94506,94514) = ( 94506 × 94514) / 2
LCM(94506,94514) = 8932140084 / 2
LCM(94506,94514) = 4466070042

Least Common Multiple (LCM) of 94506 and 94514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94506 and 94514. First we will calculate the prime factors of 94506 and 94514.

Prime Factorization of 94506

Prime factors of 94506 are 2, 3, 19, 829. Prime factorization of 94506 in exponential form is:

94506 = 21 × 31 × 191 × 8291

Prime Factorization of 94514

Prime factors of 94514 are 2, 7, 43, 157. Prime factorization of 94514 in exponential form is:

94514 = 21 × 71 × 431 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 94506 and 94514.

LCM(94506,94514) = 21 × 31 × 191 × 8291 × 71 × 431 × 1571
LCM(94506,94514) = 4466070042