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What is the Least Common Multiple of 49709 and 49714?

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 49709 and 49714 is 2471233226.

LCM(49709,49714) = 2471233226

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Least Common Multiple of 49709 and 49714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49709 and 49714, than apply into the LCM equation.

GCF(49709,49714) = 1
LCM(49709,49714) = ( 49709 × 49714) / 1
LCM(49709,49714) = 2471233226 / 1
LCM(49709,49714) = 2471233226

Least Common Multiple (LCM) of 49709 and 49714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49709 and 49714. First we will calculate the prime factors of 49709 and 49714.

Prime Factorization of 49709

Prime factors of 49709 are 11, 4519. Prime factorization of 49709 in exponential form is:

49709 = 111 × 45191

Prime Factorization of 49714

Prime factors of 49714 are 2, 7, 53, 67. Prime factorization of 49714 in exponential form is:

49714 = 21 × 71 × 531 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 49709 and 49714.

LCM(49709,49714) = 111 × 45191 × 21 × 71 × 531 × 671
LCM(49709,49714) = 2471233226