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What is the Least Common Multiple of 61734 and 61744?

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 61734 and 61744 is 1905852048.

LCM(61734,61744) = 1905852048

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Least Common Multiple of 61734 and 61744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61734 and 61744, than apply into the LCM equation.

GCF(61734,61744) = 2
LCM(61734,61744) = ( 61734 × 61744) / 2
LCM(61734,61744) = 3811704096 / 2
LCM(61734,61744) = 1905852048

Least Common Multiple (LCM) of 61734 and 61744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61734 and 61744. First we will calculate the prime factors of 61734 and 61744.

Prime Factorization of 61734

Prime factors of 61734 are 2, 3, 10289. Prime factorization of 61734 in exponential form is:

61734 = 21 × 31 × 102891

Prime Factorization of 61744

Prime factors of 61744 are 2, 17, 227. Prime factorization of 61744 in exponential form is:

61744 = 24 × 171 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 61734 and 61744.

LCM(61734,61744) = 24 × 31 × 102891 × 171 × 2271
LCM(61734,61744) = 1905852048