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What is the Least Common Multiple of 22220 and 22226?

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 22220 and 22226 is 246930860.

LCM(22220,22226) = 246930860

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Least Common Multiple of 22220 and 22226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22220 and 22226, than apply into the LCM equation.

GCF(22220,22226) = 2
LCM(22220,22226) = ( 22220 × 22226) / 2
LCM(22220,22226) = 493861720 / 2
LCM(22220,22226) = 246930860

Least Common Multiple (LCM) of 22220 and 22226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22220 and 22226. First we will calculate the prime factors of 22220 and 22226.

Prime Factorization of 22220

Prime factors of 22220 are 2, 5, 11, 101. Prime factorization of 22220 in exponential form is:

22220 = 22 × 51 × 111 × 1011

Prime Factorization of 22226

Prime factors of 22226 are 2, 11113. Prime factorization of 22226 in exponential form is:

22226 = 21 × 111131

Now multiplying the highest exponent prime factors to calculate the LCM of 22220 and 22226.

LCM(22220,22226) = 22 × 51 × 111 × 1011 × 111131
LCM(22220,22226) = 246930860