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What is the Least Common Multiple of 94370 and 94389?

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 94370 and 94389 is 8907489930.

LCM(94370,94389) = 8907489930

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Least Common Multiple of 94370 and 94389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94370 and 94389, than apply into the LCM equation.

GCF(94370,94389) = 1
LCM(94370,94389) = ( 94370 × 94389) / 1
LCM(94370,94389) = 8907489930 / 1
LCM(94370,94389) = 8907489930

Least Common Multiple (LCM) of 94370 and 94389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94370 and 94389. First we will calculate the prime factors of 94370 and 94389.

Prime Factorization of 94370

Prime factors of 94370 are 2, 5, 9437. Prime factorization of 94370 in exponential form is:

94370 = 21 × 51 × 94371

Prime Factorization of 94389

Prime factors of 94389 are 3, 73, 431. Prime factorization of 94389 in exponential form is:

94389 = 31 × 731 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 94370 and 94389.

LCM(94370,94389) = 21 × 51 × 94371 × 31 × 731 × 4311
LCM(94370,94389) = 8907489930