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What is the Least Common Multiple of 30364 and 30371?

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 30364 and 30371 is 922185044.

LCM(30364,30371) = 922185044

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Least Common Multiple of 30364 and 30371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30364 and 30371, than apply into the LCM equation.

GCF(30364,30371) = 1
LCM(30364,30371) = ( 30364 × 30371) / 1
LCM(30364,30371) = 922185044 / 1
LCM(30364,30371) = 922185044

Least Common Multiple (LCM) of 30364 and 30371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30364 and 30371. First we will calculate the prime factors of 30364 and 30371.

Prime Factorization of 30364

Prime factors of 30364 are 2, 7591. Prime factorization of 30364 in exponential form is:

30364 = 22 × 75911

Prime Factorization of 30371

Prime factors of 30371 are 11, 251. Prime factorization of 30371 in exponential form is:

30371 = 112 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 30364 and 30371.

LCM(30364,30371) = 22 × 75911 × 112 × 2511
LCM(30364,30371) = 922185044