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What is the Least Common Multiple of 30277 and 30290?

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 30277 and 30290 is 70545410.

LCM(30277,30290) = 70545410

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Least Common Multiple of 30277 and 30290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30277 and 30290, than apply into the LCM equation.

GCF(30277,30290) = 13
LCM(30277,30290) = ( 30277 × 30290) / 13
LCM(30277,30290) = 917090330 / 13
LCM(30277,30290) = 70545410

Least Common Multiple (LCM) of 30277 and 30290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30277 and 30290. First we will calculate the prime factors of 30277 and 30290.

Prime Factorization of 30277

Prime factors of 30277 are 13, 17, 137. Prime factorization of 30277 in exponential form is:

30277 = 131 × 171 × 1371

Prime Factorization of 30290

Prime factors of 30290 are 2, 5, 13, 233. Prime factorization of 30290 in exponential form is:

30290 = 21 × 51 × 131 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 30277 and 30290.

LCM(30277,30290) = 131 × 171 × 1371 × 21 × 51 × 2331
LCM(30277,30290) = 70545410