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What is the Least Common Multiple of 49483 and 49502?

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 49483 and 49502 is 2449507466.

LCM(49483,49502) = 2449507466

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Least Common Multiple of 49483 and 49502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49483 and 49502, than apply into the LCM equation.

GCF(49483,49502) = 1
LCM(49483,49502) = ( 49483 × 49502) / 1
LCM(49483,49502) = 2449507466 / 1
LCM(49483,49502) = 2449507466

Least Common Multiple (LCM) of 49483 and 49502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49483 and 49502. First we will calculate the prime factors of 49483 and 49502.

Prime Factorization of 49483

Prime factors of 49483 are 7, 7069. Prime factorization of 49483 in exponential form is:

49483 = 71 × 70691

Prime Factorization of 49502

Prime factors of 49502 are 2, 53, 467. Prime factorization of 49502 in exponential form is:

49502 = 21 × 531 × 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 49483 and 49502.

LCM(49483,49502) = 71 × 70691 × 21 × 531 × 4671
LCM(49483,49502) = 2449507466