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What is the Least Common Multiple of 96893 and 96907?

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 96893 and 96907 is 9389609951.

LCM(96893,96907) = 9389609951

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Least Common Multiple of 96893 and 96907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96893 and 96907, than apply into the LCM equation.

GCF(96893,96907) = 1
LCM(96893,96907) = ( 96893 × 96907) / 1
LCM(96893,96907) = 9389609951 / 1
LCM(96893,96907) = 9389609951

Least Common Multiple (LCM) of 96893 and 96907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96893 and 96907. First we will calculate the prime factors of 96893 and 96907.

Prime Factorization of 96893

Prime factors of 96893 are 96893. Prime factorization of 96893 in exponential form is:

96893 = 968931

Prime Factorization of 96907

Prime factors of 96907 are 96907. Prime factorization of 96907 in exponential form is:

96907 = 969071

Now multiplying the highest exponent prime factors to calculate the LCM of 96893 and 96907.

LCM(96893,96907) = 968931 × 969071
LCM(96893,96907) = 9389609951