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Least Common Multiple of 272 and 425

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 272 and 425 is 6800.

LCM(272,425) = 6800

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Least Common Multiple of 272 and 425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 272 and 425, than apply into the LCM equation.

GCF(272,425) = 17
LCM(272,425) = ( 272 × 425) / 17
LCM(272,425) = 115600 / 17
LCM(272,425) = 6800

Least Common Multiple (LCM) of 272 and 425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 272 and 425. First we will calculate the prime factors of 272 and 425.

Prime Factorization of 272

Prime factors of 272 are 2, 17. Prime factorization of 272 in exponential form is:

272 = 24 × 171

Prime Factorization of 425

Prime factors of 425 are 5, 17. Prime factorization of 425 in exponential form is:

425 = 52 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 272 and 425.

LCM(272,425) = 24 × 171 × 52
LCM(272,425) = 6800

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Guest 2020-05-20 22:25:58

It is very useful

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