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What is the Least Common Multiple of 9190 and 9202?

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 9190 and 9202 is 42283190.

LCM(9190,9202) = 42283190

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Least Common Multiple of 9190 and 9202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9190 and 9202, than apply into the LCM equation.

GCF(9190,9202) = 2
LCM(9190,9202) = ( 9190 × 9202) / 2
LCM(9190,9202) = 84566380 / 2
LCM(9190,9202) = 42283190

Least Common Multiple (LCM) of 9190 and 9202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9190 and 9202. First we will calculate the prime factors of 9190 and 9202.

Prime Factorization of 9190

Prime factors of 9190 are 2, 5, 919. Prime factorization of 9190 in exponential form is:

9190 = 21 × 51 × 9191

Prime Factorization of 9202

Prime factors of 9202 are 2, 43, 107. Prime factorization of 9202 in exponential form is:

9202 = 21 × 431 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 9190 and 9202.

LCM(9190,9202) = 21 × 51 × 9191 × 431 × 1071
LCM(9190,9202) = 42283190