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What is the Least Common Multiple of 95254 and 95260?

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 95254 and 95260 is 4536948020.

LCM(95254,95260) = 4536948020

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Least Common Multiple of 95254 and 95260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95254 and 95260, than apply into the LCM equation.

GCF(95254,95260) = 2
LCM(95254,95260) = ( 95254 × 95260) / 2
LCM(95254,95260) = 9073896040 / 2
LCM(95254,95260) = 4536948020

Least Common Multiple (LCM) of 95254 and 95260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95254 and 95260. First we will calculate the prime factors of 95254 and 95260.

Prime Factorization of 95254

Prime factors of 95254 are 2, 97, 491. Prime factorization of 95254 in exponential form is:

95254 = 21 × 971 × 4911

Prime Factorization of 95260

Prime factors of 95260 are 2, 5, 11, 433. Prime factorization of 95260 in exponential form is:

95260 = 22 × 51 × 111 × 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 95254 and 95260.

LCM(95254,95260) = 22 × 971 × 4911 × 51 × 111 × 4331
LCM(95254,95260) = 4536948020