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What is the Least Common Multiple of 48095 and 48111?

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 48095 and 48111 is 2313898545.

LCM(48095,48111) = 2313898545

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Least Common Multiple of 48095 and 48111 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48095 and 48111, than apply into the LCM equation.

GCF(48095,48111) = 1
LCM(48095,48111) = ( 48095 × 48111) / 1
LCM(48095,48111) = 2313898545 / 1
LCM(48095,48111) = 2313898545

Least Common Multiple (LCM) of 48095 and 48111 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48095 and 48111. First we will calculate the prime factors of 48095 and 48111.

Prime Factorization of 48095

Prime factors of 48095 are 5, 9619. Prime factorization of 48095 in exponential form is:

48095 = 51 × 96191

Prime Factorization of 48111

Prime factors of 48111 are 3, 7, 29, 79. Prime factorization of 48111 in exponential form is:

48111 = 31 × 71 × 291 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 48095 and 48111.

LCM(48095,48111) = 51 × 96191 × 31 × 71 × 291 × 791
LCM(48095,48111) = 2313898545