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What is the Least Common Multiple of 94900 and 94907?

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 94900 and 94907 is 9006674300.

LCM(94900,94907) = 9006674300

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Least Common Multiple of 94900 and 94907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94900 and 94907, than apply into the LCM equation.

GCF(94900,94907) = 1
LCM(94900,94907) = ( 94900 × 94907) / 1
LCM(94900,94907) = 9006674300 / 1
LCM(94900,94907) = 9006674300

Least Common Multiple (LCM) of 94900 and 94907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94900 and 94907. First we will calculate the prime factors of 94900 and 94907.

Prime Factorization of 94900

Prime factors of 94900 are 2, 5, 13, 73. Prime factorization of 94900 in exponential form is:

94900 = 22 × 52 × 131 × 731

Prime Factorization of 94907

Prime factors of 94907 are 94907. Prime factorization of 94907 in exponential form is:

94907 = 949071

Now multiplying the highest exponent prime factors to calculate the LCM of 94900 and 94907.

LCM(94900,94907) = 22 × 52 × 131 × 731 × 949071
LCM(94900,94907) = 9006674300