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What is the Least Common Multiple of 26618 and 26632?

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 26618 and 26632 is 354445288.

LCM(26618,26632) = 354445288

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Least Common Multiple of 26618 and 26632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26618 and 26632, than apply into the LCM equation.

GCF(26618,26632) = 2
LCM(26618,26632) = ( 26618 × 26632) / 2
LCM(26618,26632) = 708890576 / 2
LCM(26618,26632) = 354445288

Least Common Multiple (LCM) of 26618 and 26632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26618 and 26632. First we will calculate the prime factors of 26618 and 26632.

Prime Factorization of 26618

Prime factors of 26618 are 2, 13309. Prime factorization of 26618 in exponential form is:

26618 = 21 × 133091

Prime Factorization of 26632

Prime factors of 26632 are 2, 3329. Prime factorization of 26632 in exponential form is:

26632 = 23 × 33291

Now multiplying the highest exponent prime factors to calculate the LCM of 26618 and 26632.

LCM(26618,26632) = 23 × 133091 × 33291
LCM(26618,26632) = 354445288