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What is the Least Common Multiple of 62351 and 62370?

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 62370 is 3888831870.

LCM(62351,62370) = 3888831870

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Least Common Multiple of 62351 and 62370 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 62370, than apply into the LCM equation.

GCF(62351,62370) = 1
LCM(62351,62370) = ( 62351 × 62370) / 1
LCM(62351,62370) = 3888831870 / 1
LCM(62351,62370) = 3888831870

Least Common Multiple (LCM) of 62351 and 62370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62351 and 62370. First we will calculate the prime factors of 62351 and 62370.

Prime Factorization of 62351

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

62351 = 623511

Prime Factorization of 62370

Prime factors of 62370 are 2, 3, 5, 7, 11. Prime factorization of 62370 in exponential form is:

62370 = 21 × 34 × 51 × 71 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 62351 and 62370.

LCM(62351,62370) = 623511 × 21 × 34 × 51 × 71 × 111
LCM(62351,62370) = 3888831870