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What is the Least Common Multiple of 30280 and 30299?

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 30280 and 30299 is 917453720.

LCM(30280,30299) = 917453720

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Least Common Multiple of 30280 and 30299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30280 and 30299, than apply into the LCM equation.

GCF(30280,30299) = 1
LCM(30280,30299) = ( 30280 × 30299) / 1
LCM(30280,30299) = 917453720 / 1
LCM(30280,30299) = 917453720

Least Common Multiple (LCM) of 30280 and 30299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30280 and 30299. First we will calculate the prime factors of 30280 and 30299.

Prime Factorization of 30280

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

30280 = 23 × 51 × 7571

Prime Factorization of 30299

Prime factors of 30299 are 41, 739. Prime factorization of 30299 in exponential form is:

30299 = 411 × 7391

Now multiplying the highest exponent prime factors to calculate the LCM of 30280 and 30299.

LCM(30280,30299) = 23 × 51 × 7571 × 411 × 7391
LCM(30280,30299) = 917453720