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What is the Least Common Multiple of 30293 and 30310?

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 30293 and 30310 is 918180830.

LCM(30293,30310) = 918180830

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Least Common Multiple of 30293 and 30310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30293 and 30310, than apply into the LCM equation.

GCF(30293,30310) = 1
LCM(30293,30310) = ( 30293 × 30310) / 1
LCM(30293,30310) = 918180830 / 1
LCM(30293,30310) = 918180830

Least Common Multiple (LCM) of 30293 and 30310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30293 and 30310. First we will calculate the prime factors of 30293 and 30310.

Prime Factorization of 30293

Prime factors of 30293 are 30293. Prime factorization of 30293 in exponential form is:

30293 = 302931

Prime Factorization of 30310

Prime factors of 30310 are 2, 5, 7, 433. Prime factorization of 30310 in exponential form is:

30310 = 21 × 51 × 71 × 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 30293 and 30310.

LCM(30293,30310) = 302931 × 21 × 51 × 71 × 4331
LCM(30293,30310) = 918180830