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What is the Least Common Multiple of 5562 and 5573?

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 5562 and 5573 is 30997026.

LCM(5562,5573) = 30997026

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Least Common Multiple of 5562 and 5573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5562 and 5573, than apply into the LCM equation.

GCF(5562,5573) = 1
LCM(5562,5573) = ( 5562 × 5573) / 1
LCM(5562,5573) = 30997026 / 1
LCM(5562,5573) = 30997026

Least Common Multiple (LCM) of 5562 and 5573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5562 and 5573. First we will calculate the prime factors of 5562 and 5573.

Prime Factorization of 5562

Prime factors of 5562 are 2, 3, 103. Prime factorization of 5562 in exponential form is:

5562 = 21 × 33 × 1031

Prime Factorization of 5573

Prime factors of 5573 are 5573. Prime factorization of 5573 in exponential form is:

5573 = 55731

Now multiplying the highest exponent prime factors to calculate the LCM of 5562 and 5573.

LCM(5562,5573) = 21 × 33 × 1031 × 55731
LCM(5562,5573) = 30997026