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What is the Least Common Multiple of 50597 and 50616?

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 50597 and 50616 is 134790408.

LCM(50597,50616) = 134790408

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Least Common Multiple of 50597 and 50616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50597 and 50616, than apply into the LCM equation.

GCF(50597,50616) = 19
LCM(50597,50616) = ( 50597 × 50616) / 19
LCM(50597,50616) = 2561017752 / 19
LCM(50597,50616) = 134790408

Least Common Multiple (LCM) of 50597 and 50616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50597 and 50616. First we will calculate the prime factors of 50597 and 50616.

Prime Factorization of 50597

Prime factors of 50597 are 19, 2663. Prime factorization of 50597 in exponential form is:

50597 = 191 × 26631

Prime Factorization of 50616

Prime factors of 50616 are 2, 3, 19, 37. Prime factorization of 50616 in exponential form is:

50616 = 23 × 32 × 191 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 50597 and 50616.

LCM(50597,50616) = 191 × 26631 × 23 × 32 × 371
LCM(50597,50616) = 134790408