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What is the Least Common Multiple of 30374 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 30374 and 30388 is 461502556.

LCM(30374,30388) = 461502556

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Least Common Multiple of 30374 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 30374 and 30388, than apply into the LCM equation.

GCF(30374,30388) = 2
LCM(30374,30388) = ( 30374 × 30388) / 2
LCM(30374,30388) = 923005112 / 2
LCM(30374,30388) = 461502556

Least Common Multiple (LCM) of 30374 and 30388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30374 and 30388. First we will calculate the prime factors of 30374 and 30388.

Prime Factorization of 30374

Prime factors of 30374 are 2, 15187. Prime factorization of 30374 in exponential form is:

30374 = 21 × 151871

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 30374 and 30388.

LCM(30374,30388) = 22 × 151871 × 711 × 1071
LCM(30374,30388) = 461502556