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What is the Least Common Multiple of 92195 and 92202?

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 92195 and 92202 is 8500563390.

LCM(92195,92202) = 8500563390

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Least Common Multiple of 92195 and 92202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92195 and 92202, than apply into the LCM equation.

GCF(92195,92202) = 1
LCM(92195,92202) = ( 92195 × 92202) / 1
LCM(92195,92202) = 8500563390 / 1
LCM(92195,92202) = 8500563390

Least Common Multiple (LCM) of 92195 and 92202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92195 and 92202. First we will calculate the prime factors of 92195 and 92202.

Prime Factorization of 92195

Prime factors of 92195 are 5, 18439. Prime factorization of 92195 in exponential form is:

92195 = 51 × 184391

Prime Factorization of 92202

Prime factors of 92202 are 2, 3, 11, 127. Prime factorization of 92202 in exponential form is:

92202 = 21 × 31 × 112 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 92195 and 92202.

LCM(92195,92202) = 51 × 184391 × 21 × 31 × 112 × 1271
LCM(92195,92202) = 8500563390