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What is the Least Common Multiple of 11220 and 11239?

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 11220 and 11239 is 126101580.

LCM(11220,11239) = 126101580

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Least Common Multiple of 11220 and 11239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11220 and 11239, than apply into the LCM equation.

GCF(11220,11239) = 1
LCM(11220,11239) = ( 11220 × 11239) / 1
LCM(11220,11239) = 126101580 / 1
LCM(11220,11239) = 126101580

Least Common Multiple (LCM) of 11220 and 11239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11220 and 11239. First we will calculate the prime factors of 11220 and 11239.

Prime Factorization of 11220

Prime factors of 11220 are 2, 3, 5, 11, 17. Prime factorization of 11220 in exponential form is:

11220 = 22 × 31 × 51 × 111 × 171

Prime Factorization of 11239

Prime factors of 11239 are 11239. Prime factorization of 11239 in exponential form is:

11239 = 112391

Now multiplying the highest exponent prime factors to calculate the LCM of 11220 and 11239.

LCM(11220,11239) = 22 × 31 × 51 × 111 × 171 × 112391
LCM(11220,11239) = 126101580