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What is the Least Common Multiple of 56078 and 56089?

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 56078 and 56089 is 285941722.

LCM(56078,56089) = 285941722

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Least Common Multiple of 56078 and 56089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56078 and 56089, than apply into the LCM equation.

GCF(56078,56089) = 11
LCM(56078,56089) = ( 56078 × 56089) / 11
LCM(56078,56089) = 3145358942 / 11
LCM(56078,56089) = 285941722

Least Common Multiple (LCM) of 56078 and 56089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56078 and 56089. First we will calculate the prime factors of 56078 and 56089.

Prime Factorization of 56078

Prime factors of 56078 are 2, 11, 2549. Prime factorization of 56078 in exponential form is:

56078 = 21 × 111 × 25491

Prime Factorization of 56089

Prime factors of 56089 are 11, 5099. Prime factorization of 56089 in exponential form is:

56089 = 111 × 50991

Now multiplying the highest exponent prime factors to calculate the LCM of 56078 and 56089.

LCM(56078,56089) = 21 × 111 × 25491 × 50991
LCM(56078,56089) = 285941722