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What is the Least Common Multiple of 2209 and 2220?

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 2209 and 2220 is 4903980.

LCM(2209,2220) = 4903980

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Least Common Multiple of 2209 and 2220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2209 and 2220, than apply into the LCM equation.

GCF(2209,2220) = 1
LCM(2209,2220) = ( 2209 × 2220) / 1
LCM(2209,2220) = 4903980 / 1
LCM(2209,2220) = 4903980

Least Common Multiple (LCM) of 2209 and 2220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2209 and 2220. First we will calculate the prime factors of 2209 and 2220.

Prime Factorization of 2209

Prime factors of 2209 are 47. Prime factorization of 2209 in exponential form is:

2209 = 472

Prime Factorization of 2220

Prime factors of 2220 are 2, 3, 5, 37. Prime factorization of 2220 in exponential form is:

2220 = 22 × 31 × 51 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 2209 and 2220.

LCM(2209,2220) = 472 × 22 × 31 × 51 × 371
LCM(2209,2220) = 4903980