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What is the Least Common Multiple of 62611 and 62618?

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 62611 and 62618 is 3920575598.

LCM(62611,62618) = 3920575598

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Least Common Multiple of 62611 and 62618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62611 and 62618, than apply into the LCM equation.

GCF(62611,62618) = 1
LCM(62611,62618) = ( 62611 × 62618) / 1
LCM(62611,62618) = 3920575598 / 1
LCM(62611,62618) = 3920575598

Least Common Multiple (LCM) of 62611 and 62618 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62611 and 62618. First we will calculate the prime factors of 62611 and 62618.

Prime Factorization of 62611

Prime factors of 62611 are 17, 29, 127. Prime factorization of 62611 in exponential form is:

62611 = 171 × 291 × 1271

Prime Factorization of 62618

Prime factors of 62618 are 2, 131, 239. Prime factorization of 62618 in exponential form is:

62618 = 21 × 1311 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 62611 and 62618.

LCM(62611,62618) = 171 × 291 × 1271 × 21 × 1311 × 2391
LCM(62611,62618) = 3920575598