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What is the Least Common Multiple of 30256 and 30271?

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 30256 and 30271 is 915879376.

LCM(30256,30271) = 915879376

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Least Common Multiple of 30256 and 30271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30256 and 30271, than apply into the LCM equation.

GCF(30256,30271) = 1
LCM(30256,30271) = ( 30256 × 30271) / 1
LCM(30256,30271) = 915879376 / 1
LCM(30256,30271) = 915879376

Least Common Multiple (LCM) of 30256 and 30271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30256 and 30271. First we will calculate the prime factors of 30256 and 30271.

Prime Factorization of 30256

Prime factors of 30256 are 2, 31, 61. Prime factorization of 30256 in exponential form is:

30256 = 24 × 311 × 611

Prime Factorization of 30271

Prime factors of 30271 are 30271. Prime factorization of 30271 in exponential form is:

30271 = 302711

Now multiplying the highest exponent prime factors to calculate the LCM of 30256 and 30271.

LCM(30256,30271) = 24 × 311 × 611 × 302711
LCM(30256,30271) = 915879376