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What is the Least Common Multiple of 48373 and 48391?

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 48373 and 48391 is 2340817843.

LCM(48373,48391) = 2340817843

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Least Common Multiple of 48373 and 48391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48373 and 48391, than apply into the LCM equation.

GCF(48373,48391) = 1
LCM(48373,48391) = ( 48373 × 48391) / 1
LCM(48373,48391) = 2340817843 / 1
LCM(48373,48391) = 2340817843

Least Common Multiple (LCM) of 48373 and 48391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48373 and 48391. First we will calculate the prime factors of 48373 and 48391.

Prime Factorization of 48373

Prime factors of 48373 are 13, 61. Prime factorization of 48373 in exponential form is:

48373 = 131 × 612

Prime Factorization of 48391

Prime factors of 48391 are 7, 31, 223. Prime factorization of 48391 in exponential form is:

48391 = 71 × 311 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 48373 and 48391.

LCM(48373,48391) = 131 × 612 × 71 × 311 × 2231
LCM(48373,48391) = 2340817843