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What is the Least Common Multiple of 30554 and 30560?

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 30554 and 30560 is 466865120.

LCM(30554,30560) = 466865120

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Least Common Multiple of 30554 and 30560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30554 and 30560, than apply into the LCM equation.

GCF(30554,30560) = 2
LCM(30554,30560) = ( 30554 × 30560) / 2
LCM(30554,30560) = 933730240 / 2
LCM(30554,30560) = 466865120

Least Common Multiple (LCM) of 30554 and 30560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30554 and 30560. First we will calculate the prime factors of 30554 and 30560.

Prime Factorization of 30554

Prime factors of 30554 are 2, 15277. Prime factorization of 30554 in exponential form is:

30554 = 21 × 152771

Prime Factorization of 30560

Prime factors of 30560 are 2, 5, 191. Prime factorization of 30560 in exponential form is:

30560 = 25 × 51 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 30554 and 30560.

LCM(30554,30560) = 25 × 152771 × 51 × 1911
LCM(30554,30560) = 466865120