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What is the Least Common Multiple of 62595 and 62606?

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 62595 and 62606 is 3918822570.

LCM(62595,62606) = 3918822570

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Least Common Multiple of 62595 and 62606 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62595 and 62606, than apply into the LCM equation.

GCF(62595,62606) = 1
LCM(62595,62606) = ( 62595 × 62606) / 1
LCM(62595,62606) = 3918822570 / 1
LCM(62595,62606) = 3918822570

Least Common Multiple (LCM) of 62595 and 62606 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62595 and 62606. First we will calculate the prime factors of 62595 and 62606.

Prime Factorization of 62595

Prime factors of 62595 are 3, 5, 13, 107. Prime factorization of 62595 in exponential form is:

62595 = 32 × 51 × 131 × 1071

Prime Factorization of 62606

Prime factors of 62606 are 2, 23, 1361. Prime factorization of 62606 in exponential form is:

62606 = 21 × 231 × 13611

Now multiplying the highest exponent prime factors to calculate the LCM of 62595 and 62606.

LCM(62595,62606) = 32 × 51 × 131 × 1071 × 21 × 231 × 13611
LCM(62595,62606) = 3918822570