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What is the Least Common Multiple of 62455 and 62466?

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 62455 and 62466 is 3901314030.

LCM(62455,62466) = 3901314030

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Least Common Multiple of 62455 and 62466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62455 and 62466, than apply into the LCM equation.

GCF(62455,62466) = 1
LCM(62455,62466) = ( 62455 × 62466) / 1
LCM(62455,62466) = 3901314030 / 1
LCM(62455,62466) = 3901314030

Least Common Multiple (LCM) of 62455 and 62466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62455 and 62466. First we will calculate the prime factors of 62455 and 62466.

Prime Factorization of 62455

Prime factors of 62455 are 5, 12491. Prime factorization of 62455 in exponential form is:

62455 = 51 × 124911

Prime Factorization of 62466

Prime factors of 62466 are 2, 3, 29, 359. Prime factorization of 62466 in exponential form is:

62466 = 21 × 31 × 291 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 62455 and 62466.

LCM(62455,62466) = 51 × 124911 × 21 × 31 × 291 × 3591
LCM(62455,62466) = 3901314030