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What is the Least Common Multiple of 95226 and 95238?

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 95226 and 95238 is 1511522298.

LCM(95226,95238) = 1511522298

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Least Common Multiple of 95226 and 95238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95226 and 95238, than apply into the LCM equation.

GCF(95226,95238) = 6
LCM(95226,95238) = ( 95226 × 95238) / 6
LCM(95226,95238) = 9069133788 / 6
LCM(95226,95238) = 1511522298

Least Common Multiple (LCM) of 95226 and 95238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95226 and 95238. First we will calculate the prime factors of 95226 and 95238.

Prime Factorization of 95226

Prime factors of 95226 are 2, 3, 59, 269. Prime factorization of 95226 in exponential form is:

95226 = 21 × 31 × 591 × 2691

Prime Factorization of 95238

Prime factors of 95238 are 2, 3, 11, 13, 37. Prime factorization of 95238 in exponential form is:

95238 = 21 × 32 × 111 × 131 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 95226 and 95238.

LCM(95226,95238) = 21 × 32 × 591 × 2691 × 111 × 131 × 371
LCM(95226,95238) = 1511522298