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What is the Least Common Multiple of 98216 and 98227?

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 98216 and 98227 is 9647463032.

LCM(98216,98227) = 9647463032

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Least Common Multiple of 98216 and 98227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98216 and 98227, than apply into the LCM equation.

GCF(98216,98227) = 1
LCM(98216,98227) = ( 98216 × 98227) / 1
LCM(98216,98227) = 9647463032 / 1
LCM(98216,98227) = 9647463032

Least Common Multiple (LCM) of 98216 and 98227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98216 and 98227. First we will calculate the prime factors of 98216 and 98227.

Prime Factorization of 98216

Prime factors of 98216 are 2, 12277. Prime factorization of 98216 in exponential form is:

98216 = 23 × 122771

Prime Factorization of 98227

Prime factors of 98227 are 98227. Prime factorization of 98227 in exponential form is:

98227 = 982271

Now multiplying the highest exponent prime factors to calculate the LCM of 98216 and 98227.

LCM(98216,98227) = 23 × 122771 × 982271
LCM(98216,98227) = 9647463032