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What is the Least Common Multiple of 896 and 902?

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 896 and 902 is 404096.

LCM(896,902) = 404096

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Least Common Multiple of 896 and 902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 896 and 902, than apply into the LCM equation.

GCF(896,902) = 2
LCM(896,902) = ( 896 × 902) / 2
LCM(896,902) = 808192 / 2
LCM(896,902) = 404096

Least Common Multiple (LCM) of 896 and 902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 896 and 902. First we will calculate the prime factors of 896 and 902.

Prime Factorization of 896

Prime factors of 896 are 2, 7. Prime factorization of 896 in exponential form is:

896 = 27 × 71

Prime Factorization of 902

Prime factors of 902 are 2, 11, 41. Prime factorization of 902 in exponential form is:

902 = 21 × 111 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 896 and 902.

LCM(896,902) = 27 × 71 × 111 × 411
LCM(896,902) = 404096