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What is the Least Common Multiple of 94802 and 94807?

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 94802 and 94807 is 8987893214.

LCM(94802,94807) = 8987893214

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Least Common Multiple of 94802 and 94807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94802 and 94807, than apply into the LCM equation.

GCF(94802,94807) = 1
LCM(94802,94807) = ( 94802 × 94807) / 1
LCM(94802,94807) = 8987893214 / 1
LCM(94802,94807) = 8987893214

Least Common Multiple (LCM) of 94802 and 94807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94802 and 94807. First we will calculate the prime factors of 94802 and 94807.

Prime Factorization of 94802

Prime factors of 94802 are 2, 107, 443. Prime factorization of 94802 in exponential form is:

94802 = 21 × 1071 × 4431

Prime Factorization of 94807

Prime factors of 94807 are 113, 839. Prime factorization of 94807 in exponential form is:

94807 = 1131 × 8391

Now multiplying the highest exponent prime factors to calculate the LCM of 94802 and 94807.

LCM(94802,94807) = 21 × 1071 × 4431 × 1131 × 8391
LCM(94802,94807) = 8987893214