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What is the Least Common Multiple of 56956 and 56965?

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 56956 and 56965 is 3244498540.

LCM(56956,56965) = 3244498540

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Least Common Multiple of 56956 and 56965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56956 and 56965, than apply into the LCM equation.

GCF(56956,56965) = 1
LCM(56956,56965) = ( 56956 × 56965) / 1
LCM(56956,56965) = 3244498540 / 1
LCM(56956,56965) = 3244498540

Least Common Multiple (LCM) of 56956 and 56965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56956 and 56965. First we will calculate the prime factors of 56956 and 56965.

Prime Factorization of 56956

Prime factors of 56956 are 2, 29, 491. Prime factorization of 56956 in exponential form is:

56956 = 22 × 291 × 4911

Prime Factorization of 56965

Prime factors of 56965 are 5, 11393. Prime factorization of 56965 in exponential form is:

56965 = 51 × 113931

Now multiplying the highest exponent prime factors to calculate the LCM of 56956 and 56965.

LCM(56956,56965) = 22 × 291 × 4911 × 51 × 113931
LCM(56956,56965) = 3244498540