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What is the Least Common Multiple of 49180 and 49195?

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 49180 and 49195 is 483882020.

LCM(49180,49195) = 483882020

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Least Common Multiple of 49180 and 49195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49180 and 49195, than apply into the LCM equation.

GCF(49180,49195) = 5
LCM(49180,49195) = ( 49180 × 49195) / 5
LCM(49180,49195) = 2419410100 / 5
LCM(49180,49195) = 483882020

Least Common Multiple (LCM) of 49180 and 49195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49180 and 49195. First we will calculate the prime factors of 49180 and 49195.

Prime Factorization of 49180

Prime factors of 49180 are 2, 5, 2459. Prime factorization of 49180 in exponential form is:

49180 = 22 × 51 × 24591

Prime Factorization of 49195

Prime factors of 49195 are 5, 9839. Prime factorization of 49195 in exponential form is:

49195 = 51 × 98391

Now multiplying the highest exponent prime factors to calculate the LCM of 49180 and 49195.

LCM(49180,49195) = 22 × 51 × 24591 × 98391
LCM(49180,49195) = 483882020