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What is the Least Common Multiple of 56975 and 56994?

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 56975 and 56994 is 3247233150.

LCM(56975,56994) = 3247233150

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Least Common Multiple of 56975 and 56994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56975 and 56994, than apply into the LCM equation.

GCF(56975,56994) = 1
LCM(56975,56994) = ( 56975 × 56994) / 1
LCM(56975,56994) = 3247233150 / 1
LCM(56975,56994) = 3247233150

Least Common Multiple (LCM) of 56975 and 56994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56975 and 56994. First we will calculate the prime factors of 56975 and 56994.

Prime Factorization of 56975

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

56975 = 52 × 431 × 531

Prime Factorization of 56994

Prime factors of 56994 are 2, 3, 7, 23, 59. Prime factorization of 56994 in exponential form is:

56994 = 21 × 31 × 71 × 231 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 56975 and 56994.

LCM(56975,56994) = 52 × 431 × 531 × 21 × 31 × 71 × 231 × 591
LCM(56975,56994) = 3247233150