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What is the Least Common Multiple of 50379 and 50395?

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 50379 and 50395 is 2538849705.

LCM(50379,50395) = 2538849705

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Least Common Multiple of 50379 and 50395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50379 and 50395, than apply into the LCM equation.

GCF(50379,50395) = 1
LCM(50379,50395) = ( 50379 × 50395) / 1
LCM(50379,50395) = 2538849705 / 1
LCM(50379,50395) = 2538849705

Least Common Multiple (LCM) of 50379 and 50395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50379 and 50395. First we will calculate the prime factors of 50379 and 50395.

Prime Factorization of 50379

Prime factors of 50379 are 3, 7, 2399. Prime factorization of 50379 in exponential form is:

50379 = 31 × 71 × 23991

Prime Factorization of 50395

Prime factors of 50395 are 5, 10079. Prime factorization of 50395 in exponential form is:

50395 = 51 × 100791

Now multiplying the highest exponent prime factors to calculate the LCM of 50379 and 50395.

LCM(50379,50395) = 31 × 71 × 23991 × 51 × 100791
LCM(50379,50395) = 2538849705