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What is the Least Common Multiple of 89846 and 89863?

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 89846 and 89863 is 8073831098.

LCM(89846,89863) = 8073831098

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Least Common Multiple of 89846 and 89863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89846 and 89863, than apply into the LCM equation.

GCF(89846,89863) = 1
LCM(89846,89863) = ( 89846 × 89863) / 1
LCM(89846,89863) = 8073831098 / 1
LCM(89846,89863) = 8073831098

Least Common Multiple (LCM) of 89846 and 89863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89846 and 89863. First we will calculate the prime factors of 89846 and 89863.

Prime Factorization of 89846

Prime factors of 89846 are 2, 167, 269. Prime factorization of 89846 in exponential form is:

89846 = 21 × 1671 × 2691

Prime Factorization of 89863

Prime factors of 89863 are 73, 1231. Prime factorization of 89863 in exponential form is:

89863 = 731 × 12311

Now multiplying the highest exponent prime factors to calculate the LCM of 89846 and 89863.

LCM(89846,89863) = 21 × 1671 × 2691 × 731 × 12311
LCM(89846,89863) = 8073831098