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What is the Least Common Multiple of 48814 and 48830?

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 48814 and 48830 is 1191793810.

LCM(48814,48830) = 1191793810

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Least Common Multiple of 48814 and 48830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48814 and 48830, than apply into the LCM equation.

GCF(48814,48830) = 2
LCM(48814,48830) = ( 48814 × 48830) / 2
LCM(48814,48830) = 2383587620 / 2
LCM(48814,48830) = 1191793810

Least Common Multiple (LCM) of 48814 and 48830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48814 and 48830. First we will calculate the prime factors of 48814 and 48830.

Prime Factorization of 48814

Prime factors of 48814 are 2, 24407. Prime factorization of 48814 in exponential form is:

48814 = 21 × 244071

Prime Factorization of 48830

Prime factors of 48830 are 2, 5, 19, 257. Prime factorization of 48830 in exponential form is:

48830 = 21 × 51 × 191 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 48814 and 48830.

LCM(48814,48830) = 21 × 244071 × 51 × 191 × 2571
LCM(48814,48830) = 1191793810