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What is the Least Common Multiple of 10373 and 10385?

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 10373 and 10385 is 107723605.

LCM(10373,10385) = 107723605

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Least Common Multiple of 10373 and 10385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10373 and 10385, than apply into the LCM equation.

GCF(10373,10385) = 1
LCM(10373,10385) = ( 10373 × 10385) / 1
LCM(10373,10385) = 107723605 / 1
LCM(10373,10385) = 107723605

Least Common Multiple (LCM) of 10373 and 10385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10373 and 10385. First we will calculate the prime factors of 10373 and 10385.

Prime Factorization of 10373

Prime factors of 10373 are 11, 23, 41. Prime factorization of 10373 in exponential form is:

10373 = 111 × 231 × 411

Prime Factorization of 10385

Prime factors of 10385 are 5, 31, 67. Prime factorization of 10385 in exponential form is:

10385 = 51 × 311 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 10373 and 10385.

LCM(10373,10385) = 111 × 231 × 411 × 51 × 311 × 671
LCM(10373,10385) = 107723605