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What is the Least Common Multiple of 62186 and 62202?

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 62186 and 62202 is 1934046786.

LCM(62186,62202) = 1934046786

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Least Common Multiple of 62186 and 62202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62186 and 62202, than apply into the LCM equation.

GCF(62186,62202) = 2
LCM(62186,62202) = ( 62186 × 62202) / 2
LCM(62186,62202) = 3868093572 / 2
LCM(62186,62202) = 1934046786

Least Common Multiple (LCM) of 62186 and 62202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62186 and 62202. First we will calculate the prime factors of 62186 and 62202.

Prime Factorization of 62186

Prime factors of 62186 are 2, 17, 31, 59. Prime factorization of 62186 in exponential form is:

62186 = 21 × 171 × 311 × 591

Prime Factorization of 62202

Prime factors of 62202 are 2, 3, 7, 1481. Prime factorization of 62202 in exponential form is:

62202 = 21 × 31 × 71 × 14811

Now multiplying the highest exponent prime factors to calculate the LCM of 62186 and 62202.

LCM(62186,62202) = 21 × 171 × 311 × 591 × 31 × 71 × 14811
LCM(62186,62202) = 1934046786