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What is the Least Common Multiple of 49364 and 49382?

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 49364 and 49382 is 1218846524.

LCM(49364,49382) = 1218846524

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Least Common Multiple of 49364 and 49382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49364 and 49382, than apply into the LCM equation.

GCF(49364,49382) = 2
LCM(49364,49382) = ( 49364 × 49382) / 2
LCM(49364,49382) = 2437693048 / 2
LCM(49364,49382) = 1218846524

Least Common Multiple (LCM) of 49364 and 49382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49364 and 49382. First we will calculate the prime factors of 49364 and 49382.

Prime Factorization of 49364

Prime factors of 49364 are 2, 7, 41, 43. Prime factorization of 49364 in exponential form is:

49364 = 22 × 71 × 411 × 431

Prime Factorization of 49382

Prime factors of 49382 are 2, 24691. Prime factorization of 49382 in exponential form is:

49382 = 21 × 246911

Now multiplying the highest exponent prime factors to calculate the LCM of 49364 and 49382.

LCM(49364,49382) = 22 × 71 × 411 × 431 × 246911
LCM(49364,49382) = 1218846524