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What is the Least Common Multiple of 22186 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 22186 and 22202 is 246286786.

LCM(22186,22202) = 246286786

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Least Common Multiple of 22186 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 22186 and 22202, than apply into the LCM equation.

GCF(22186,22202) = 2
LCM(22186,22202) = ( 22186 × 22202) / 2
LCM(22186,22202) = 492573572 / 2
LCM(22186,22202) = 246286786

Least Common Multiple (LCM) of 22186 and 22202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22186 and 22202. First we will calculate the prime factors of 22186 and 22202.

Prime Factorization of 22186

Prime factors of 22186 are 2, 11093. Prime factorization of 22186 in exponential form is:

22186 = 21 × 110931

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 22186 and 22202.

LCM(22186,22202) = 21 × 110931 × 171 × 6531
LCM(22186,22202) = 246286786