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What is the Least Common Multiple of 9210 and 9218?

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 9210 and 9218 is 42448890.

LCM(9210,9218) = 42448890

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Least Common Multiple of 9210 and 9218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9210 and 9218, than apply into the LCM equation.

GCF(9210,9218) = 2
LCM(9210,9218) = ( 9210 × 9218) / 2
LCM(9210,9218) = 84897780 / 2
LCM(9210,9218) = 42448890

Least Common Multiple (LCM) of 9210 and 9218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9210 and 9218. First we will calculate the prime factors of 9210 and 9218.

Prime Factorization of 9210

Prime factors of 9210 are 2, 3, 5, 307. Prime factorization of 9210 in exponential form is:

9210 = 21 × 31 × 51 × 3071

Prime Factorization of 9218

Prime factors of 9218 are 2, 11, 419. Prime factorization of 9218 in exponential form is:

9218 = 21 × 111 × 4191

Now multiplying the highest exponent prime factors to calculate the LCM of 9210 and 9218.

LCM(9210,9218) = 21 × 31 × 51 × 3071 × 111 × 4191
LCM(9210,9218) = 42448890