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What is the Least Common Multiple of 89263 and 89278?

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 89263 and 89278 is 7969222114.

LCM(89263,89278) = 7969222114

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Least Common Multiple of 89263 and 89278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89263 and 89278, than apply into the LCM equation.

GCF(89263,89278) = 1
LCM(89263,89278) = ( 89263 × 89278) / 1
LCM(89263,89278) = 7969222114 / 1
LCM(89263,89278) = 7969222114

Least Common Multiple (LCM) of 89263 and 89278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89263 and 89278. First we will calculate the prime factors of 89263 and 89278.

Prime Factorization of 89263

Prime factors of 89263 are 23, 3881. Prime factorization of 89263 in exponential form is:

89263 = 231 × 38811

Prime Factorization of 89278

Prime factors of 89278 are 2, 7, 911. Prime factorization of 89278 in exponential form is:

89278 = 21 × 72 × 9111

Now multiplying the highest exponent prime factors to calculate the LCM of 89263 and 89278.

LCM(89263,89278) = 231 × 38811 × 21 × 72 × 9111
LCM(89263,89278) = 7969222114