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What is the Least Common Multiple of 56414 and 56434?

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 56414 and 56434 is 1591833838.

LCM(56414,56434) = 1591833838

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Least Common Multiple of 56414 and 56434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56414 and 56434, than apply into the LCM equation.

GCF(56414,56434) = 2
LCM(56414,56434) = ( 56414 × 56434) / 2
LCM(56414,56434) = 3183667676 / 2
LCM(56414,56434) = 1591833838

Least Common Multiple (LCM) of 56414 and 56434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56414 and 56434. First we will calculate the prime factors of 56414 and 56434.

Prime Factorization of 56414

Prime factors of 56414 are 2, 67, 421. Prime factorization of 56414 in exponential form is:

56414 = 21 × 671 × 4211

Prime Factorization of 56434

Prime factors of 56434 are 2, 7, 29, 139. Prime factorization of 56434 in exponential form is:

56434 = 21 × 71 × 291 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 56414 and 56434.

LCM(56414,56434) = 21 × 671 × 4211 × 71 × 291 × 1391
LCM(56414,56434) = 1591833838