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What is the Least Common Multiple of 94764 and 94771?

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 94764 and 94771 is 8980879044.

LCM(94764,94771) = 8980879044

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Least Common Multiple of 94764 and 94771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94764 and 94771, than apply into the LCM equation.

GCF(94764,94771) = 1
LCM(94764,94771) = ( 94764 × 94771) / 1
LCM(94764,94771) = 8980879044 / 1
LCM(94764,94771) = 8980879044

Least Common Multiple (LCM) of 94764 and 94771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94764 and 94771. First we will calculate the prime factors of 94764 and 94771.

Prime Factorization of 94764

Prime factors of 94764 are 2, 3, 53, 149. Prime factorization of 94764 in exponential form is:

94764 = 22 × 31 × 531 × 1491

Prime Factorization of 94771

Prime factors of 94771 are 94771. Prime factorization of 94771 in exponential form is:

94771 = 947711

Now multiplying the highest exponent prime factors to calculate the LCM of 94764 and 94771.

LCM(94764,94771) = 22 × 31 × 531 × 1491 × 947711
LCM(94764,94771) = 8980879044