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What is the Least Common Multiple of 56338 and 56358?

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 56338 and 56358 is 1587548502.

LCM(56338,56358) = 1587548502

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Least Common Multiple of 56338 and 56358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56338 and 56358, than apply into the LCM equation.

GCF(56338,56358) = 2
LCM(56338,56358) = ( 56338 × 56358) / 2
LCM(56338,56358) = 3175097004 / 2
LCM(56338,56358) = 1587548502

Least Common Multiple (LCM) of 56338 and 56358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56338 and 56358. First we will calculate the prime factors of 56338 and 56358.

Prime Factorization of 56338

Prime factors of 56338 are 2, 17, 1657. Prime factorization of 56338 in exponential form is:

56338 = 21 × 171 × 16571

Prime Factorization of 56358

Prime factors of 56358 are 2, 3, 31, 101. Prime factorization of 56358 in exponential form is:

56358 = 21 × 32 × 311 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 56338 and 56358.

LCM(56338,56358) = 21 × 171 × 16571 × 32 × 311 × 1011
LCM(56338,56358) = 1587548502