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What is the Least Common Multiple of 89483 and 89495?

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 89483 and 89495 is 8008281085.

LCM(89483,89495) = 8008281085

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Least Common Multiple of 89483 and 89495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89483 and 89495, than apply into the LCM equation.

GCF(89483,89495) = 1
LCM(89483,89495) = ( 89483 × 89495) / 1
LCM(89483,89495) = 8008281085 / 1
LCM(89483,89495) = 8008281085

Least Common Multiple (LCM) of 89483 and 89495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89483 and 89495. First we will calculate the prime factors of 89483 and 89495.

Prime Factorization of 89483

Prime factors of 89483 are 43, 2081. Prime factorization of 89483 in exponential form is:

89483 = 431 × 20811

Prime Factorization of 89495

Prime factors of 89495 are 5, 7, 2557. Prime factorization of 89495 in exponential form is:

89495 = 51 × 71 × 25571

Now multiplying the highest exponent prime factors to calculate the LCM of 89483 and 89495.

LCM(89483,89495) = 431 × 20811 × 51 × 71 × 25571
LCM(89483,89495) = 8008281085