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What is the Least Common Multiple of 30267 and 30280?

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 30267 and 30280 is 916484760.

LCM(30267,30280) = 916484760

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Least Common Multiple of 30267 and 30280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30267 and 30280, than apply into the LCM equation.

GCF(30267,30280) = 1
LCM(30267,30280) = ( 30267 × 30280) / 1
LCM(30267,30280) = 916484760 / 1
LCM(30267,30280) = 916484760

Least Common Multiple (LCM) of 30267 and 30280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30267 and 30280. First we will calculate the prime factors of 30267 and 30280.

Prime Factorization of 30267

Prime factors of 30267 are 3, 19, 59. Prime factorization of 30267 in exponential form is:

30267 = 33 × 191 × 591

Prime Factorization of 30280

Prime factors of 30280 are 2, 5, 757. Prime factorization of 30280 in exponential form is:

30280 = 23 × 51 × 7571

Now multiplying the highest exponent prime factors to calculate the LCM of 30267 and 30280.

LCM(30267,30280) = 33 × 191 × 591 × 23 × 51 × 7571
LCM(30267,30280) = 916484760