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What is the Least Common Multiple of 89702 and 89721?

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 89702 and 89721 is 8048153142.

LCM(89702,89721) = 8048153142

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Least Common Multiple of 89702 and 89721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89702 and 89721, than apply into the LCM equation.

GCF(89702,89721) = 1
LCM(89702,89721) = ( 89702 × 89721) / 1
LCM(89702,89721) = 8048153142 / 1
LCM(89702,89721) = 8048153142

Least Common Multiple (LCM) of 89702 and 89721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89702 and 89721. First we will calculate the prime factors of 89702 and 89721.

Prime Factorization of 89702

Prime factors of 89702 are 2, 44851. Prime factorization of 89702 in exponential form is:

89702 = 21 × 448511

Prime Factorization of 89721

Prime factors of 89721 are 3, 3323. Prime factorization of 89721 in exponential form is:

89721 = 33 × 33231

Now multiplying the highest exponent prime factors to calculate the LCM of 89702 and 89721.

LCM(89702,89721) = 21 × 448511 × 33 × 33231
LCM(89702,89721) = 8048153142