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What is the Least Common Multiple of 62259 and 62267?

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 62259 and 62267 is 3876681153.

LCM(62259,62267) = 3876681153

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Least Common Multiple of 62259 and 62267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62259 and 62267, than apply into the LCM equation.

GCF(62259,62267) = 1
LCM(62259,62267) = ( 62259 × 62267) / 1
LCM(62259,62267) = 3876681153 / 1
LCM(62259,62267) = 3876681153

Least Common Multiple (LCM) of 62259 and 62267 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62259 and 62267. First we will calculate the prime factors of 62259 and 62267.

Prime Factorization of 62259

Prime factors of 62259 are 3, 20753. Prime factorization of 62259 in exponential form is:

62259 = 31 × 207531

Prime Factorization of 62267

Prime factors of 62267 are 71, 877. Prime factorization of 62267 in exponential form is:

62267 = 711 × 8771

Now multiplying the highest exponent prime factors to calculate the LCM of 62259 and 62267.

LCM(62259,62267) = 31 × 207531 × 711 × 8771
LCM(62259,62267) = 3876681153