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What is the Least Common Multiple of 95278 and 95292?

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 95278 and 95292 is 4539615588.

LCM(95278,95292) = 4539615588

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Least Common Multiple of 95278 and 95292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95278 and 95292, than apply into the LCM equation.

GCF(95278,95292) = 2
LCM(95278,95292) = ( 95278 × 95292) / 2
LCM(95278,95292) = 9079231176 / 2
LCM(95278,95292) = 4539615588

Least Common Multiple (LCM) of 95278 and 95292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95278 and 95292. First we will calculate the prime factors of 95278 and 95292.

Prime Factorization of 95278

Prime factors of 95278 are 2, 47639. Prime factorization of 95278 in exponential form is:

95278 = 21 × 476391

Prime Factorization of 95292

Prime factors of 95292 are 2, 3, 2647. Prime factorization of 95292 in exponential form is:

95292 = 22 × 32 × 26471

Now multiplying the highest exponent prime factors to calculate the LCM of 95278 and 95292.

LCM(95278,95292) = 22 × 476391 × 32 × 26471
LCM(95278,95292) = 4539615588