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What is the Least Common Multiple of 10618 and 10622?

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 10618 and 10622 is 56392198.

LCM(10618,10622) = 56392198

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Least Common Multiple of 10618 and 10622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10618 and 10622, than apply into the LCM equation.

GCF(10618,10622) = 2
LCM(10618,10622) = ( 10618 × 10622) / 2
LCM(10618,10622) = 112784396 / 2
LCM(10618,10622) = 56392198

Least Common Multiple (LCM) of 10618 and 10622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10618 and 10622. First we will calculate the prime factors of 10618 and 10622.

Prime Factorization of 10618

Prime factors of 10618 are 2, 5309. Prime factorization of 10618 in exponential form is:

10618 = 21 × 53091

Prime Factorization of 10622

Prime factors of 10622 are 2, 47, 113. Prime factorization of 10622 in exponential form is:

10622 = 21 × 471 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 10618 and 10622.

LCM(10618,10622) = 21 × 53091 × 471 × 1131
LCM(10618,10622) = 56392198