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What is the Least Common Multiple of 65694 and 65700?

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 65694 and 65700 is 719349300.

LCM(65694,65700) = 719349300

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Least Common Multiple of 65694 and 65700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65694 and 65700, than apply into the LCM equation.

GCF(65694,65700) = 6
LCM(65694,65700) = ( 65694 × 65700) / 6
LCM(65694,65700) = 4316095800 / 6
LCM(65694,65700) = 719349300

Least Common Multiple (LCM) of 65694 and 65700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65694 and 65700. First we will calculate the prime factors of 65694 and 65700.

Prime Factorization of 65694

Prime factors of 65694 are 2, 3, 10949. Prime factorization of 65694 in exponential form is:

65694 = 21 × 31 × 109491

Prime Factorization of 65700

Prime factors of 65700 are 2, 3, 5, 73. Prime factorization of 65700 in exponential form is:

65700 = 22 × 32 × 52 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 65694 and 65700.

LCM(65694,65700) = 22 × 32 × 109491 × 52 × 731
LCM(65694,65700) = 719349300