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What is the Least Common Multiple of 94514 and 94534?

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 94514 and 94534 is 4467393238.

LCM(94514,94534) = 4467393238

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Least Common Multiple of 94514 and 94534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94514 and 94534, than apply into the LCM equation.

GCF(94514,94534) = 2
LCM(94514,94534) = ( 94514 × 94534) / 2
LCM(94514,94534) = 8934786476 / 2
LCM(94514,94534) = 4467393238

Least Common Multiple (LCM) of 94514 and 94534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94514 and 94534. First we will calculate the prime factors of 94514 and 94534.

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

Prime Factorization of 94534

Prime factors of 94534 are 2, 11, 4297. Prime factorization of 94534 in exponential form is:

94534 = 21 × 111 × 42971

Now multiplying the highest exponent prime factors to calculate the LCM of 94514 and 94534.

LCM(94514,94534) = 21 × 71 × 431 × 1571 × 111 × 42971
LCM(94514,94534) = 4467393238