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What is the Least Common Multiple of 30379 and 30388?

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 30379 and 30388 is 923157052.

LCM(30379,30388) = 923157052

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Least Common Multiple of 30379 and 30388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30379 and 30388, than apply into the LCM equation.

GCF(30379,30388) = 1
LCM(30379,30388) = ( 30379 × 30388) / 1
LCM(30379,30388) = 923157052 / 1
LCM(30379,30388) = 923157052

Least Common Multiple (LCM) of 30379 and 30388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30379 and 30388. First we will calculate the prime factors of 30379 and 30388.

Prime Factorization of 30379

Prime factors of 30379 are 17, 1787. Prime factorization of 30379 in exponential form is:

30379 = 171 × 17871

Prime Factorization of 30388

Prime factors of 30388 are 2, 71, 107. Prime factorization of 30388 in exponential form is:

30388 = 22 × 711 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 30379 and 30388.

LCM(30379,30388) = 171 × 17871 × 22 × 711 × 1071
LCM(30379,30388) = 923157052