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What is the Least Common Multiple of 22190 and 22202?

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 22190 and 22202 is 246331190.

LCM(22190,22202) = 246331190

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Least Common Multiple of 22190 and 22202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22190 and 22202, than apply into the LCM equation.

GCF(22190,22202) = 2
LCM(22190,22202) = ( 22190 × 22202) / 2
LCM(22190,22202) = 492662380 / 2
LCM(22190,22202) = 246331190

Least Common Multiple (LCM) of 22190 and 22202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22190 and 22202. First we will calculate the prime factors of 22190 and 22202.

Prime Factorization of 22190

Prime factors of 22190 are 2, 5, 7, 317. Prime factorization of 22190 in exponential form is:

22190 = 21 × 51 × 71 × 3171

Prime Factorization of 22202

Prime factors of 22202 are 2, 17, 653. Prime factorization of 22202 in exponential form is:

22202 = 21 × 171 × 6531

Now multiplying the highest exponent prime factors to calculate the LCM of 22190 and 22202.

LCM(22190,22202) = 21 × 51 × 71 × 3171 × 171 × 6531
LCM(22190,22202) = 246331190