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What is the Least Common Multiple of 94471 and 94480?

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 94471 and 94480 is 8925620080.

LCM(94471,94480) = 8925620080

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Least Common Multiple of 94471 and 94480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94471 and 94480, than apply into the LCM equation.

GCF(94471,94480) = 1
LCM(94471,94480) = ( 94471 × 94480) / 1
LCM(94471,94480) = 8925620080 / 1
LCM(94471,94480) = 8925620080

Least Common Multiple (LCM) of 94471 and 94480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94471 and 94480. First we will calculate the prime factors of 94471 and 94480.

Prime Factorization of 94471

Prime factors of 94471 are 13, 43. Prime factorization of 94471 in exponential form is:

94471 = 133 × 431

Prime Factorization of 94480

Prime factors of 94480 are 2, 5, 1181. Prime factorization of 94480 in exponential form is:

94480 = 24 × 51 × 11811

Now multiplying the highest exponent prime factors to calculate the LCM of 94471 and 94480.

LCM(94471,94480) = 133 × 431 × 24 × 51 × 11811
LCM(94471,94480) = 8925620080