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What is the Least Common Multiple of 89663 and 89678?

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 89663 and 89678 is 8040798514.

LCM(89663,89678) = 8040798514

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Least Common Multiple of 89663 and 89678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89663 and 89678, than apply into the LCM equation.

GCF(89663,89678) = 1
LCM(89663,89678) = ( 89663 × 89678) / 1
LCM(89663,89678) = 8040798514 / 1
LCM(89663,89678) = 8040798514

Least Common Multiple (LCM) of 89663 and 89678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89663 and 89678. First we will calculate the prime factors of 89663 and 89678.

Prime Factorization of 89663

Prime factors of 89663 are 7, 12809. Prime factorization of 89663 in exponential form is:

89663 = 71 × 128091

Prime Factorization of 89678

Prime factors of 89678 are 2, 44839. Prime factorization of 89678 in exponential form is:

89678 = 21 × 448391

Now multiplying the highest exponent prime factors to calculate the LCM of 89663 and 89678.

LCM(89663,89678) = 71 × 128091 × 21 × 448391
LCM(89663,89678) = 8040798514