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What is the Least Common Multiple of 5562 and 5567?

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 5567 is 30963654.

LCM(5562,5567) = 30963654

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Least Common Multiple of 5562 and 5567 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 5567, than apply into the LCM equation.

GCF(5562,5567) = 1
LCM(5562,5567) = ( 5562 × 5567) / 1
LCM(5562,5567) = 30963654 / 1
LCM(5562,5567) = 30963654

Least Common Multiple (LCM) of 5562 and 5567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5562 and 5567. First we will calculate the prime factors of 5562 and 5567.

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 5567

Prime factors of 5567 are 19, 293. Prime factorization of 5567 in exponential form is:

5567 = 191 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 5562 and 5567.

LCM(5562,5567) = 21 × 33 × 1031 × 191 × 2931
LCM(5562,5567) = 30963654