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What is the Least Common Multiple of 62233 and 62251?

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 62233 and 62251 is 3874066483.

LCM(62233,62251) = 3874066483

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Least Common Multiple of 62233 and 62251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62233 and 62251, than apply into the LCM equation.

GCF(62233,62251) = 1
LCM(62233,62251) = ( 62233 × 62251) / 1
LCM(62233,62251) = 3874066483 / 1
LCM(62233,62251) = 3874066483

Least Common Multiple (LCM) of 62233 and 62251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62233 and 62251. First we will calculate the prime factors of 62233 and 62251.

Prime Factorization of 62233

Prime factors of 62233 are 62233. Prime factorization of 62233 in exponential form is:

62233 = 622331

Prime Factorization of 62251

Prime factors of 62251 are 7, 8893. Prime factorization of 62251 in exponential form is:

62251 = 71 × 88931

Now multiplying the highest exponent prime factors to calculate the LCM of 62233 and 62251.

LCM(62233,62251) = 622331 × 71 × 88931
LCM(62233,62251) = 3874066483