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What is the Least Common Multiple of 49315 and 49330?

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 49315 and 49330 is 486541790.

LCM(49315,49330) = 486541790

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Least Common Multiple of 49315 and 49330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49315 and 49330, than apply into the LCM equation.

GCF(49315,49330) = 5
LCM(49315,49330) = ( 49315 × 49330) / 5
LCM(49315,49330) = 2432708950 / 5
LCM(49315,49330) = 486541790

Least Common Multiple (LCM) of 49315 and 49330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49315 and 49330. First we will calculate the prime factors of 49315 and 49330.

Prime Factorization of 49315

Prime factors of 49315 are 5, 7, 1409. Prime factorization of 49315 in exponential form is:

49315 = 51 × 71 × 14091

Prime Factorization of 49330

Prime factors of 49330 are 2, 5, 4933. Prime factorization of 49330 in exponential form is:

49330 = 21 × 51 × 49331

Now multiplying the highest exponent prime factors to calculate the LCM of 49315 and 49330.

LCM(49315,49330) = 51 × 71 × 14091 × 21 × 49331
LCM(49315,49330) = 486541790