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What is the Least Common Multiple of 56987 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 56987 and 56994 is 463988154.

LCM(56987,56994) = 463988154

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Least Common Multiple of 56987 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 56987 and 56994, than apply into the LCM equation.

GCF(56987,56994) = 7
LCM(56987,56994) = ( 56987 × 56994) / 7
LCM(56987,56994) = 3247917078 / 7
LCM(56987,56994) = 463988154

Least Common Multiple (LCM) of 56987 and 56994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56987 and 56994. First we will calculate the prime factors of 56987 and 56994.

Prime Factorization of 56987

Prime factors of 56987 are 7, 1163. Prime factorization of 56987 in exponential form is:

56987 = 72 × 11631

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 56987 and 56994.

LCM(56987,56994) = 72 × 11631 × 21 × 31 × 231 × 591
LCM(56987,56994) = 463988154