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What is the Least Common Multiple of 49724 and 49738?

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 49724 and 49738 is 1236586156.

LCM(49724,49738) = 1236586156

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Least Common Multiple of 49724 and 49738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49724 and 49738, than apply into the LCM equation.

GCF(49724,49738) = 2
LCM(49724,49738) = ( 49724 × 49738) / 2
LCM(49724,49738) = 2473172312 / 2
LCM(49724,49738) = 1236586156

Least Common Multiple (LCM) of 49724 and 49738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49724 and 49738. First we will calculate the prime factors of 49724 and 49738.

Prime Factorization of 49724

Prime factors of 49724 are 2, 31, 401. Prime factorization of 49724 in exponential form is:

49724 = 22 × 311 × 4011

Prime Factorization of 49738

Prime factors of 49738 are 2, 13, 1913. Prime factorization of 49738 in exponential form is:

49738 = 21 × 131 × 19131

Now multiplying the highest exponent prime factors to calculate the LCM of 49724 and 49738.

LCM(49724,49738) = 22 × 311 × 4011 × 131 × 19131
LCM(49724,49738) = 1236586156