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What is the Least Common Multiple of 94700 and 94704?

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 94700 and 94704 is 2242117200.

LCM(94700,94704) = 2242117200

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Least Common Multiple of 94700 and 94704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94700 and 94704, than apply into the LCM equation.

GCF(94700,94704) = 4
LCM(94700,94704) = ( 94700 × 94704) / 4
LCM(94700,94704) = 8968468800 / 4
LCM(94700,94704) = 2242117200

Least Common Multiple (LCM) of 94700 and 94704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94700 and 94704. First we will calculate the prime factors of 94700 and 94704.

Prime Factorization of 94700

Prime factors of 94700 are 2, 5, 947. Prime factorization of 94700 in exponential form is:

94700 = 22 × 52 × 9471

Prime Factorization of 94704

Prime factors of 94704 are 2, 3, 1973. Prime factorization of 94704 in exponential form is:

94704 = 24 × 31 × 19731

Now multiplying the highest exponent prime factors to calculate the LCM of 94700 and 94704.

LCM(94700,94704) = 24 × 52 × 9471 × 31 × 19731
LCM(94700,94704) = 2242117200