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What is the Least Common Multiple of 94702 and 94711?

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 94702 and 94711 is 8969321122.

LCM(94702,94711) = 8969321122

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Least Common Multiple of 94702 and 94711 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94702 and 94711, than apply into the LCM equation.

GCF(94702,94711) = 1
LCM(94702,94711) = ( 94702 × 94711) / 1
LCM(94702,94711) = 8969321122 / 1
LCM(94702,94711) = 8969321122

Least Common Multiple (LCM) of 94702 and 94711 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94702 and 94711. First we will calculate the prime factors of 94702 and 94711.

Prime Factorization of 94702

Prime factors of 94702 are 2, 47351. Prime factorization of 94702 in exponential form is:

94702 = 21 × 473511

Prime Factorization of 94711

Prime factors of 94711 are 53, 1787. Prime factorization of 94711 in exponential form is:

94711 = 531 × 17871

Now multiplying the highest exponent prime factors to calculate the LCM of 94702 and 94711.

LCM(94702,94711) = 21 × 473511 × 531 × 17871
LCM(94702,94711) = 8969321122