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What is the Least Common Multiple of 62259 and 62270?

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 62270 is 3876867930.

LCM(62259,62270) = 3876867930

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Least Common Multiple of 62259 and 62270 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 62270, than apply into the LCM equation.

GCF(62259,62270) = 1
LCM(62259,62270) = ( 62259 × 62270) / 1
LCM(62259,62270) = 3876867930 / 1
LCM(62259,62270) = 3876867930

Least Common Multiple (LCM) of 62259 and 62270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62259 and 62270. First we will calculate the prime factors of 62259 and 62270.

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 62270

Prime factors of 62270 are 2, 5, 13, 479. Prime factorization of 62270 in exponential form is:

62270 = 21 × 51 × 131 × 4791

Now multiplying the highest exponent prime factors to calculate the LCM of 62259 and 62270.

LCM(62259,62270) = 31 × 207531 × 21 × 51 × 131 × 4791
LCM(62259,62270) = 3876867930