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What is the Least Common Multiple of 65190 and 65202?

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 65190 and 65202 is 708419730.

LCM(65190,65202) = 708419730

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Least Common Multiple of 65190 and 65202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65190 and 65202, than apply into the LCM equation.

GCF(65190,65202) = 6
LCM(65190,65202) = ( 65190 × 65202) / 6
LCM(65190,65202) = 4250518380 / 6
LCM(65190,65202) = 708419730

Least Common Multiple (LCM) of 65190 and 65202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65190 and 65202. First we will calculate the prime factors of 65190 and 65202.

Prime Factorization of 65190

Prime factors of 65190 are 2, 3, 5, 41, 53. Prime factorization of 65190 in exponential form is:

65190 = 21 × 31 × 51 × 411 × 531

Prime Factorization of 65202

Prime factors of 65202 are 2, 3, 10867. Prime factorization of 65202 in exponential form is:

65202 = 21 × 31 × 108671

Now multiplying the highest exponent prime factors to calculate the LCM of 65190 and 65202.

LCM(65190,65202) = 21 × 31 × 51 × 411 × 531 × 108671
LCM(65190,65202) = 708419730