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What is the Least Common Multiple of 35611 and 35618?

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 35611 and 35618 is 1268392598.

LCM(35611,35618) = 1268392598

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Least Common Multiple of 35611 and 35618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35611 and 35618, than apply into the LCM equation.

GCF(35611,35618) = 1
LCM(35611,35618) = ( 35611 × 35618) / 1
LCM(35611,35618) = 1268392598 / 1
LCM(35611,35618) = 1268392598

Least Common Multiple (LCM) of 35611 and 35618 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35611 and 35618. First we will calculate the prime factors of 35611 and 35618.

Prime Factorization of 35611

Prime factors of 35611 are 149, 239. Prime factorization of 35611 in exponential form is:

35611 = 1491 × 2391

Prime Factorization of 35618

Prime factors of 35618 are 2, 11, 1619. Prime factorization of 35618 in exponential form is:

35618 = 21 × 111 × 16191

Now multiplying the highest exponent prime factors to calculate the LCM of 35611 and 35618.

LCM(35611,35618) = 1491 × 2391 × 21 × 111 × 16191
LCM(35611,35618) = 1268392598