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What is the Least Common Multiple of 30351 and 30370?

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 30351 and 30370 is 921759870.

LCM(30351,30370) = 921759870

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Least Common Multiple of 30351 and 30370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30351 and 30370, than apply into the LCM equation.

GCF(30351,30370) = 1
LCM(30351,30370) = ( 30351 × 30370) / 1
LCM(30351,30370) = 921759870 / 1
LCM(30351,30370) = 921759870

Least Common Multiple (LCM) of 30351 and 30370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30351 and 30370. First we will calculate the prime factors of 30351 and 30370.

Prime Factorization of 30351

Prime factors of 30351 are 3, 67, 151. Prime factorization of 30351 in exponential form is:

30351 = 31 × 671 × 1511

Prime Factorization of 30370

Prime factors of 30370 are 2, 5, 3037. Prime factorization of 30370 in exponential form is:

30370 = 21 × 51 × 30371

Now multiplying the highest exponent prime factors to calculate the LCM of 30351 and 30370.

LCM(30351,30370) = 31 × 671 × 1511 × 21 × 51 × 30371
LCM(30351,30370) = 921759870