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What is the Least Common Multiple of 62591 and 62602?

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 62591 and 62602 is 3918321782.

LCM(62591,62602) = 3918321782

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Least Common Multiple of 62591 and 62602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62591 and 62602, than apply into the LCM equation.

GCF(62591,62602) = 1
LCM(62591,62602) = ( 62591 × 62602) / 1
LCM(62591,62602) = 3918321782 / 1
LCM(62591,62602) = 3918321782

Least Common Multiple (LCM) of 62591 and 62602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62591 and 62602. First we will calculate the prime factors of 62591 and 62602.

Prime Factorization of 62591

Prime factors of 62591 are 62591. Prime factorization of 62591 in exponential form is:

62591 = 625911

Prime Factorization of 62602

Prime factors of 62602 are 2, 113, 277. Prime factorization of 62602 in exponential form is:

62602 = 21 × 1131 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 62591 and 62602.

LCM(62591,62602) = 625911 × 21 × 1131 × 2771
LCM(62591,62602) = 3918321782