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What is the Least Common Multiple of 30638 and 30656?

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 30638 and 30656 is 469619264.

LCM(30638,30656) = 469619264

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Least Common Multiple of 30638 and 30656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30638 and 30656, than apply into the LCM equation.

GCF(30638,30656) = 2
LCM(30638,30656) = ( 30638 × 30656) / 2
LCM(30638,30656) = 939238528 / 2
LCM(30638,30656) = 469619264

Least Common Multiple (LCM) of 30638 and 30656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30638 and 30656. First we will calculate the prime factors of 30638 and 30656.

Prime Factorization of 30638

Prime factors of 30638 are 2, 15319. Prime factorization of 30638 in exponential form is:

30638 = 21 × 153191

Prime Factorization of 30656

Prime factors of 30656 are 2, 479. Prime factorization of 30656 in exponential form is:

30656 = 26 × 4791

Now multiplying the highest exponent prime factors to calculate the LCM of 30638 and 30656.

LCM(30638,30656) = 26 × 153191 × 4791
LCM(30638,30656) = 469619264