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What is the Least Common Multiple of 49544 and 49551?

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 49544 and 49551 is 2454954744.

LCM(49544,49551) = 2454954744

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Least Common Multiple of 49544 and 49551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49544 and 49551, than apply into the LCM equation.

GCF(49544,49551) = 1
LCM(49544,49551) = ( 49544 × 49551) / 1
LCM(49544,49551) = 2454954744 / 1
LCM(49544,49551) = 2454954744

Least Common Multiple (LCM) of 49544 and 49551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49544 and 49551. First we will calculate the prime factors of 49544 and 49551.

Prime Factorization of 49544

Prime factors of 49544 are 2, 11, 563. Prime factorization of 49544 in exponential form is:

49544 = 23 × 111 × 5631

Prime Factorization of 49551

Prime factors of 49551 are 3, 83, 199. Prime factorization of 49551 in exponential form is:

49551 = 31 × 831 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 49544 and 49551.

LCM(49544,49551) = 23 × 111 × 5631 × 31 × 831 × 1991
LCM(49544,49551) = 2454954744