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What is the Least Common Multiple of 49546 and 49562?

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 49546 and 49562 is 1227799426.

LCM(49546,49562) = 1227799426

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Least Common Multiple of 49546 and 49562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49546 and 49562, than apply into the LCM equation.

GCF(49546,49562) = 2
LCM(49546,49562) = ( 49546 × 49562) / 2
LCM(49546,49562) = 2455598852 / 2
LCM(49546,49562) = 1227799426

Least Common Multiple (LCM) of 49546 and 49562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49546 and 49562. First we will calculate the prime factors of 49546 and 49562.

Prime Factorization of 49546

Prime factors of 49546 are 2, 7, 3539. Prime factorization of 49546 in exponential form is:

49546 = 21 × 71 × 35391

Prime Factorization of 49562

Prime factors of 49562 are 2, 24781. Prime factorization of 49562 in exponential form is:

49562 = 21 × 247811

Now multiplying the highest exponent prime factors to calculate the LCM of 49546 and 49562.

LCM(49546,49562) = 21 × 71 × 35391 × 247811
LCM(49546,49562) = 1227799426