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What is the Least Common Multiple of 11220 and 11240?

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 11240 is 6305640.

LCM(11220,11240) = 6305640

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Least Common Multiple of 11220 and 11240 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 11240, than apply into the LCM equation.

GCF(11220,11240) = 20
LCM(11220,11240) = ( 11220 × 11240) / 20
LCM(11220,11240) = 126112800 / 20
LCM(11220,11240) = 6305640

Least Common Multiple (LCM) of 11220 and 11240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11220 and 11240. First we will calculate the prime factors of 11220 and 11240.

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 11240

Prime factors of 11240 are 2, 5, 281. Prime factorization of 11240 in exponential form is:

11240 = 23 × 51 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 11220 and 11240.

LCM(11220,11240) = 23 × 31 × 51 × 111 × 171 × 2811
LCM(11220,11240) = 6305640