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What is the Least Common Multiple of 62725 and 62729?

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 62725 and 62729 is 3934676525.

LCM(62725,62729) = 3934676525

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Least Common Multiple of 62725 and 62729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62725 and 62729, than apply into the LCM equation.

GCF(62725,62729) = 1
LCM(62725,62729) = ( 62725 × 62729) / 1
LCM(62725,62729) = 3934676525 / 1
LCM(62725,62729) = 3934676525

Least Common Multiple (LCM) of 62725 and 62729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62725 and 62729. First we will calculate the prime factors of 62725 and 62729.

Prime Factorization of 62725

Prime factors of 62725 are 5, 13, 193. Prime factorization of 62725 in exponential form is:

62725 = 52 × 131 × 1931

Prime Factorization of 62729

Prime factors of 62729 are 149, 421. Prime factorization of 62729 in exponential form is:

62729 = 1491 × 4211

Now multiplying the highest exponent prime factors to calculate the LCM of 62725 and 62729.

LCM(62725,62729) = 52 × 131 × 1931 × 1491 × 4211
LCM(62725,62729) = 3934676525