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What is the Least Common Multiple of 11618 and 11638?

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 11618 and 11638 is 67605142.

LCM(11618,11638) = 67605142

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Least Common Multiple of 11618 and 11638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11618 and 11638, than apply into the LCM equation.

GCF(11618,11638) = 2
LCM(11618,11638) = ( 11618 × 11638) / 2
LCM(11618,11638) = 135210284 / 2
LCM(11618,11638) = 67605142

Least Common Multiple (LCM) of 11618 and 11638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11618 and 11638. First we will calculate the prime factors of 11618 and 11638.

Prime Factorization of 11618

Prime factors of 11618 are 2, 37, 157. Prime factorization of 11618 in exponential form is:

11618 = 21 × 371 × 1571

Prime Factorization of 11638

Prime factors of 11638 are 2, 11, 23. Prime factorization of 11638 in exponential form is:

11638 = 21 × 111 × 232

Now multiplying the highest exponent prime factors to calculate the LCM of 11618 and 11638.

LCM(11618,11638) = 21 × 371 × 1571 × 111 × 232
LCM(11618,11638) = 67605142