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What is the Least Common Multiple of 56789 and 56800?

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 56789 and 56800 is 3225615200.

LCM(56789,56800) = 3225615200

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Least Common Multiple of 56789 and 56800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56789 and 56800, than apply into the LCM equation.

GCF(56789,56800) = 1
LCM(56789,56800) = ( 56789 × 56800) / 1
LCM(56789,56800) = 3225615200 / 1
LCM(56789,56800) = 3225615200

Least Common Multiple (LCM) of 56789 and 56800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56789 and 56800. First we will calculate the prime factors of 56789 and 56800.

Prime Factorization of 56789

Prime factors of 56789 are 109, 521. Prime factorization of 56789 in exponential form is:

56789 = 1091 × 5211

Prime Factorization of 56800

Prime factors of 56800 are 2, 5, 71. Prime factorization of 56800 in exponential form is:

56800 = 25 × 52 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 56789 and 56800.

LCM(56789,56800) = 1091 × 5211 × 25 × 52 × 711
LCM(56789,56800) = 3225615200