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What is the Least Common Multiple of 62351 and 62355?

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 62351 and 62355 is 3887896605.

LCM(62351,62355) = 3887896605

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Least Common Multiple of 62351 and 62355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62351 and 62355, than apply into the LCM equation.

GCF(62351,62355) = 1
LCM(62351,62355) = ( 62351 × 62355) / 1
LCM(62351,62355) = 3887896605 / 1
LCM(62351,62355) = 3887896605

Least Common Multiple (LCM) of 62351 and 62355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62351 and 62355. First we will calculate the prime factors of 62351 and 62355.

Prime Factorization of 62351

Prime factors of 62351 are 62351. Prime factorization of 62351 in exponential form is:

62351 = 623511

Prime Factorization of 62355

Prime factors of 62355 are 3, 5, 4157. Prime factorization of 62355 in exponential form is:

62355 = 31 × 51 × 41571

Now multiplying the highest exponent prime factors to calculate the LCM of 62351 and 62355.

LCM(62351,62355) = 623511 × 31 × 51 × 41571
LCM(62351,62355) = 3887896605