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What is the Least Common Multiple of 56919 and 56934?

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 56919 and 56934 is 1080208782.

LCM(56919,56934) = 1080208782

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Least Common Multiple of 56919 and 56934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56919 and 56934, than apply into the LCM equation.

GCF(56919,56934) = 3
LCM(56919,56934) = ( 56919 × 56934) / 3
LCM(56919,56934) = 3240626346 / 3
LCM(56919,56934) = 1080208782

Least Common Multiple (LCM) of 56919 and 56934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56919 and 56934. First we will calculate the prime factors of 56919 and 56934.

Prime Factorization of 56919

Prime factors of 56919 are 3, 18973. Prime factorization of 56919 in exponential form is:

56919 = 31 × 189731

Prime Factorization of 56934

Prime factors of 56934 are 2, 3, 3163. Prime factorization of 56934 in exponential form is:

56934 = 21 × 32 × 31631

Now multiplying the highest exponent prime factors to calculate the LCM of 56919 and 56934.

LCM(56919,56934) = 32 × 189731 × 21 × 31631
LCM(56919,56934) = 1080208782