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What is the Least Common Multiple of 56726 and 56736?

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 56726 and 56736 is 1609203168.

LCM(56726,56736) = 1609203168

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Least Common Multiple of 56726 and 56736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56726 and 56736, than apply into the LCM equation.

GCF(56726,56736) = 2
LCM(56726,56736) = ( 56726 × 56736) / 2
LCM(56726,56736) = 3218406336 / 2
LCM(56726,56736) = 1609203168

Least Common Multiple (LCM) of 56726 and 56736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56726 and 56736. First we will calculate the prime factors of 56726 and 56736.

Prime Factorization of 56726

Prime factors of 56726 are 2, 113, 251. Prime factorization of 56726 in exponential form is:

56726 = 21 × 1131 × 2511

Prime Factorization of 56736

Prime factors of 56736 are 2, 3, 197. Prime factorization of 56736 in exponential form is:

56736 = 25 × 32 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 56726 and 56736.

LCM(56726,56736) = 25 × 1131 × 2511 × 32 × 1971
LCM(56726,56736) = 1609203168