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What is the Least Common Multiple of 88897 and 88910?

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 88897 and 88910 is 7903832270.

LCM(88897,88910) = 7903832270

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Least Common Multiple of 88897 and 88910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88897 and 88910, than apply into the LCM equation.

GCF(88897,88910) = 1
LCM(88897,88910) = ( 88897 × 88910) / 1
LCM(88897,88910) = 7903832270 / 1
LCM(88897,88910) = 7903832270

Least Common Multiple (LCM) of 88897 and 88910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88897 and 88910. First we will calculate the prime factors of 88897 and 88910.

Prime Factorization of 88897

Prime factors of 88897 are 88897. Prime factorization of 88897 in exponential form is:

88897 = 888971

Prime Factorization of 88910

Prime factors of 88910 are 2, 5, 17, 523. Prime factorization of 88910 in exponential form is:

88910 = 21 × 51 × 171 × 5231

Now multiplying the highest exponent prime factors to calculate the LCM of 88897 and 88910.

LCM(88897,88910) = 888971 × 21 × 51 × 171 × 5231
LCM(88897,88910) = 7903832270