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What is the Least Common Multiple of 95433 and 95438?

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 95433 and 95438 is 9107934654.

LCM(95433,95438) = 9107934654

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Least Common Multiple of 95433 and 95438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95433 and 95438, than apply into the LCM equation.

GCF(95433,95438) = 1
LCM(95433,95438) = ( 95433 × 95438) / 1
LCM(95433,95438) = 9107934654 / 1
LCM(95433,95438) = 9107934654

Least Common Multiple (LCM) of 95433 and 95438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95433 and 95438. First we will calculate the prime factors of 95433 and 95438.

Prime Factorization of 95433

Prime factors of 95433 are 3, 13, 2447. Prime factorization of 95433 in exponential form is:

95433 = 31 × 131 × 24471

Prime Factorization of 95438

Prime factors of 95438 are 2, 7, 17, 401. Prime factorization of 95438 in exponential form is:

95438 = 21 × 71 × 171 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 95433 and 95438.

LCM(95433,95438) = 31 × 131 × 24471 × 21 × 71 × 171 × 4011
LCM(95433,95438) = 9107934654