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What is the Least Common Multiple of 8195 and 8202?

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 8195 and 8202 is 67215390.

LCM(8195,8202) = 67215390

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Least Common Multiple of 8195 and 8202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8195 and 8202, than apply into the LCM equation.

GCF(8195,8202) = 1
LCM(8195,8202) = ( 8195 × 8202) / 1
LCM(8195,8202) = 67215390 / 1
LCM(8195,8202) = 67215390

Least Common Multiple (LCM) of 8195 and 8202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8195 and 8202. First we will calculate the prime factors of 8195 and 8202.

Prime Factorization of 8195

Prime factors of 8195 are 5, 11, 149. Prime factorization of 8195 in exponential form is:

8195 = 51 × 111 × 1491

Prime Factorization of 8202

Prime factors of 8202 are 2, 3, 1367. Prime factorization of 8202 in exponential form is:

8202 = 21 × 31 × 13671

Now multiplying the highest exponent prime factors to calculate the LCM of 8195 and 8202.

LCM(8195,8202) = 51 × 111 × 1491 × 21 × 31 × 13671
LCM(8195,8202) = 67215390