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What is the Least Common Multiple of 56320 and 56335?

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 56320 and 56335 is 634557440.

LCM(56320,56335) = 634557440

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Least Common Multiple of 56320 and 56335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56320 and 56335, than apply into the LCM equation.

GCF(56320,56335) = 5
LCM(56320,56335) = ( 56320 × 56335) / 5
LCM(56320,56335) = 3172787200 / 5
LCM(56320,56335) = 634557440

Least Common Multiple (LCM) of 56320 and 56335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56320 and 56335. First we will calculate the prime factors of 56320 and 56335.

Prime Factorization of 56320

Prime factors of 56320 are 2, 5, 11. Prime factorization of 56320 in exponential form is:

56320 = 210 × 51 × 111

Prime Factorization of 56335

Prime factors of 56335 are 5, 19, 593. Prime factorization of 56335 in exponential form is:

56335 = 51 × 191 × 5931

Now multiplying the highest exponent prime factors to calculate the LCM of 56320 and 56335.

LCM(56320,56335) = 210 × 51 × 111 × 191 × 5931
LCM(56320,56335) = 634557440