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What is the Least Common Multiple of 56947 and 56960?

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 56947 and 56960 is 3243701120.

LCM(56947,56960) = 3243701120

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Least Common Multiple of 56947 and 56960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56947 and 56960, than apply into the LCM equation.

GCF(56947,56960) = 1
LCM(56947,56960) = ( 56947 × 56960) / 1
LCM(56947,56960) = 3243701120 / 1
LCM(56947,56960) = 3243701120

Least Common Multiple (LCM) of 56947 and 56960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56947 and 56960. First we will calculate the prime factors of 56947 and 56960.

Prime Factorization of 56947

Prime factors of 56947 are 11, 31, 167. Prime factorization of 56947 in exponential form is:

56947 = 111 × 311 × 1671

Prime Factorization of 56960

Prime factors of 56960 are 2, 5, 89. Prime factorization of 56960 in exponential form is:

56960 = 27 × 51 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 56947 and 56960.

LCM(56947,56960) = 111 × 311 × 1671 × 27 × 51 × 891
LCM(56947,56960) = 3243701120