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What is the Least Common Multiple of 88279 and 88295?

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 88279 and 88295 is 7794594305.

LCM(88279,88295) = 7794594305

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Least Common Multiple of 88279 and 88295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88279 and 88295, than apply into the LCM equation.

GCF(88279,88295) = 1
LCM(88279,88295) = ( 88279 × 88295) / 1
LCM(88279,88295) = 7794594305 / 1
LCM(88279,88295) = 7794594305

Least Common Multiple (LCM) of 88279 and 88295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88279 and 88295. First we will calculate the prime factors of 88279 and 88295.

Prime Factorization of 88279

Prime factors of 88279 are 43, 2053. Prime factorization of 88279 in exponential form is:

88279 = 431 × 20531

Prime Factorization of 88295

Prime factors of 88295 are 5, 17659. Prime factorization of 88295 in exponential form is:

88295 = 51 × 176591

Now multiplying the highest exponent prime factors to calculate the LCM of 88279 and 88295.

LCM(88279,88295) = 431 × 20531 × 51 × 176591
LCM(88279,88295) = 7794594305