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What is the Least Common Multiple of 28266 and 28270?

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 28266 and 28270 is 399539910.

LCM(28266,28270) = 399539910

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Least Common Multiple of 28266 and 28270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28266 and 28270, than apply into the LCM equation.

GCF(28266,28270) = 2
LCM(28266,28270) = ( 28266 × 28270) / 2
LCM(28266,28270) = 799079820 / 2
LCM(28266,28270) = 399539910

Least Common Multiple (LCM) of 28266 and 28270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28266 and 28270. First we will calculate the prime factors of 28266 and 28270.

Prime Factorization of 28266

Prime factors of 28266 are 2, 3, 7, 673. Prime factorization of 28266 in exponential form is:

28266 = 21 × 31 × 71 × 6731

Prime Factorization of 28270

Prime factors of 28270 are 2, 5, 11, 257. Prime factorization of 28270 in exponential form is:

28270 = 21 × 51 × 111 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 28266 and 28270.

LCM(28266,28270) = 21 × 31 × 71 × 6731 × 51 × 111 × 2571
LCM(28266,28270) = 399539910