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What is the Least Common Multiple of 28190 and 28202?

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 28190 and 28202 is 397507190.

LCM(28190,28202) = 397507190

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Least Common Multiple of 28190 and 28202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28190 and 28202, than apply into the LCM equation.

GCF(28190,28202) = 2
LCM(28190,28202) = ( 28190 × 28202) / 2
LCM(28190,28202) = 795014380 / 2
LCM(28190,28202) = 397507190

Least Common Multiple (LCM) of 28190 and 28202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28190 and 28202. First we will calculate the prime factors of 28190 and 28202.

Prime Factorization of 28190

Prime factors of 28190 are 2, 5, 2819. Prime factorization of 28190 in exponential form is:

28190 = 21 × 51 × 28191

Prime Factorization of 28202

Prime factors of 28202 are 2, 59, 239. Prime factorization of 28202 in exponential form is:

28202 = 21 × 591 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 28190 and 28202.

LCM(28190,28202) = 21 × 51 × 28191 × 591 × 2391
LCM(28190,28202) = 397507190