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What is the Least Common Multiple of 56962 and 56975?

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 56962 and 56975 is 3245409950.

LCM(56962,56975) = 3245409950

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Least Common Multiple of 56962 and 56975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56962 and 56975, than apply into the LCM equation.

GCF(56962,56975) = 1
LCM(56962,56975) = ( 56962 × 56975) / 1
LCM(56962,56975) = 3245409950 / 1
LCM(56962,56975) = 3245409950

Least Common Multiple (LCM) of 56962 and 56975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56962 and 56975. First we will calculate the prime factors of 56962 and 56975.

Prime Factorization of 56962

Prime factors of 56962 are 2, 19, 1499. Prime factorization of 56962 in exponential form is:

56962 = 21 × 191 × 14991

Prime Factorization of 56975

Prime factors of 56975 are 5, 43, 53. Prime factorization of 56975 in exponential form is:

56975 = 52 × 431 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 56962 and 56975.

LCM(56962,56975) = 21 × 191 × 14991 × 52 × 431 × 531
LCM(56962,56975) = 3245409950