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What is the Least Common Multiple of 95240 and 95247?

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 95240 and 95247 is 9071324280.

LCM(95240,95247) = 9071324280

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Least Common Multiple of 95240 and 95247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95240 and 95247, than apply into the LCM equation.

GCF(95240,95247) = 1
LCM(95240,95247) = ( 95240 × 95247) / 1
LCM(95240,95247) = 9071324280 / 1
LCM(95240,95247) = 9071324280

Least Common Multiple (LCM) of 95240 and 95247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95240 and 95247. First we will calculate the prime factors of 95240 and 95247.

Prime Factorization of 95240

Prime factors of 95240 are 2, 5, 2381. Prime factorization of 95240 in exponential form is:

95240 = 23 × 51 × 23811

Prime Factorization of 95247

Prime factors of 95247 are 3, 19, 557. Prime factorization of 95247 in exponential form is:

95247 = 32 × 191 × 5571

Now multiplying the highest exponent prime factors to calculate the LCM of 95240 and 95247.

LCM(95240,95247) = 23 × 51 × 23811 × 32 × 191 × 5571
LCM(95240,95247) = 9071324280